NCERT Solutions Class 12 Maths Chapter 9 In Hindi
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations In Hindi
Established in 1961, as a literary, scientific and charitable Society under the Societies Registration Act, the National Council of Educational Research and Training (NCERT) is an autonomous organisation of the Government of India. Its headquarters are located at Sri Aurobindo Marg in New Delhi. Since 2022 Roshan is Director of the council.
Seven existing national government institutions were merged to form the Council. These were: the National Institute of Basic Education, the National Fundamental Education Centre,the Central Institute of Education, the Central Bureau of Textbook Research, the Central Bureau of Educational and Vocational Guidance, the Directorate of Extension Programmes for Secondary Education and the National Institute of Audio-Visual Education.
The main objective of the NCERT is to design and support a common system of education for the entire country. This system should be national in character. Its purpose is to enable and encourage the diverse cultural practices across the country as a whole.
NCERT has taken up so many initiatives in the field of education. The formation of the National Science Talent Search Scheme (NTSS) was done by NCERT in 1963. The aim of this program was to identify, nurture the quality students in India, and reward them with scholarships. Not only this, NCERT is the backbone behind National Curriculum Framework for School Education. This Framework appeared in the year 2000.The need for a healthy, agreeable, and stress-free adolescence, with a reduction in the curricular contents was the main idea behind this.
A new National Curriculum Framework was drafted by a National Steering Committee in 2005. It has five major guiding principles:
- To connect the path of knowledge to life outside school.
- To replace cramming by learning by doing or practical learning.
- Framing content enriched textbooks which help in the holistic growth of children. 4. Introducing flexibility in examination, with a purpose to integrate them with classroom life. 5. To nurture an individual sense of identity in every student with care and concern.
The NCERT publishes the textbooks from classes 1 to 12. These books are prescribed by the Central Board of Secondary Education (CBSE) from classes I to XII, with exceptions for a few subjects. These books have been adopted or adapted by around 19 school boards from 14 states. These books are helpful in forming the base or foundation of a student’s life. That is the reason behind the recommendation of these NCERT books for a majority of competitive exams in India.
Established in 1929 by a resolution of the government,the Central Board of Secondary Education (CBSE) is a national level board of education in India for public and private schools. This broad is controlled and managed by the Government of India. The establishment of CBSE was indeed a bold step towards inter-state integration and cooperation in the sphere of secondary education. Currently,more than 27,000 schools in
India and 240 schools in 28 foreign countries are affiliated to the CBSE.
NCERT curriculum is followed by all the schools affiliated to CBSE, especially from class 9 to 12.
Uttar Pradesh Board of High School and Intermediate Education was the first education board to be set up in India in 1921. This was under jurisdiction of Rajputana, Central India and Gwalior at that time. In 1929, a joint Board named Board of High School and Intermediate Education was set up by the government of India(GoI).Ajmer, Merwara, Central India, and Gwalior were included in this. However, later it was confined to Ajmer, Bhopal and Vindhya Pradesh. It was in the year 1952, that it came to be known as the Central Board of Secondary Education.
The final examinations for Class 10 and Class 12 are conducted by CBSE every year in the month of March. It announces the results for these examinations by the end of May. Earlier the AIEEE Examination was also conducted by Central School Of Education Board(CBSE) for admission to undergraduate courses related to engineering and architecture in colleges across India. However, in 2013 the AIEEE exam was merged with the IIT-Joint Entrance Exam (JEE). The common examination is now known as JEE (Main) and the responsibility to conduct this exam is shouldered by National Testing Agency( NTA).
Apart from these tests,the Central Teacher Eligibility Test and the Class X optional proficiency test also come under the jurisdiction of CBSE.
CBSE has become the largest exam conducting body in the world, with the addition of NET in 2014.
The trend of CBSE examinations keep changing with the need of time. Earlier, the pattern of paper was set in such a way as to check the memory skills of students. But with changing times, the pattern switched from memory based questions to reflective and cognitive questions. Now multiple choice questions(mcqs), assertion reason based questions are more frequent in the exam and occupy a major distribution of marks is the total marking pattern. Thus, the innovative ways of educating the future of India have always been the prime motive of CBSE.
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations In Hindi
Various skilled and semi-skilled jobs around the world require varying levels of mathematical skill. With each passing day, the competition for these jobs is also getting tighter. As a result, it has become essential to lay a strong mathematical foundation early in life. As a stepping stone in determining students’ future choices, the CBSE Class 12 board examination is of utmost importance during their learning journey. When young learners prepare for their board examinations, they put all their efforts into their preparation. Therefore, to help students with their learning process, Extramarks provides them with NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. These solutions are very beneficial for the students who belong to Hindi Medium schools. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are reliable and holistic study materials which could help students score maximum marks in the board examinations. Extramarks provides students with well-detailed and properly explained NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. These solutions are designed by in-house expert educationalists of Extramarks in order to provide academically excellent content to students. Going through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi is the first and foremost step that students should take to prepare for their board examination. These solutions are one of the best resources to prepare for any in-school, competitive as well as board examinations.
Class 12 students require additional study material to prepare for their board examinations. Therefore, Extramarks provides students with precise NCERT Solutions for Class 12 Maths Chapter 9 in Hindi for their convenience. The NCERT textbooks are indispensable in forming the academic base of students. Students should thoroughly go through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi in order to strengthen their fundamentals of the subject. These solutions are especially curated for the CBSE board students, as NCERT textbooks are the primary part of the curriculum for the schools that are affiliated with CBSE. By going through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, students can acknowledge all the concepts that are included in the Class 12 Mathematics syllabus. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks are authentic and can be easily downloaded on any device as they are available in PDF format. Chapter 9 Class 12 Mathematics is Differential Equations. This chapter carries a significant weightage in the board as well as competitive examinations. Therefore, students should be very careful while going through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Furthermore, students who want to pursue Mathematics for higher education or want to score well in any competitive examinations should have a strong grasp of the concepts embedded in NCERT Solutions for Class 12 Maths Chapter 9 in Hindi.
Class 12 is a very critical year for the academic career of students. The scores obtained by students in this academic year structure their careers. Therefore, it is essential for them to score well in all the subjects of the Class 12 curriculum. However, it is not easy for the students to score well in the Class 12 Mathematics board examination. It is a subject that requires an ample amount of practice as it is a completely conceptual subject. Therefore, Extramarks provides students with NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to enable students to have possession of clarity with regard to basic concepts. Extramarks is an e-learning platform that provides students with all the resources that are necessary to score well in any examination. The Extramarks website provides students with NCERT Solutions for all the chapters of Class 12 Mathematics. Young learners should have comprehensive learning habits in lower classes so that they can have a successful academic career. Along with NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, Extramarks also provides students with NCERT Solutions Class 1, NCERT Solutions Class 2, NCERT Solutions Class 3, NCERT Solutions Class 5, NCERT Solutions Class 4, NCERT Solutions Class 7, NCERT Solutions Class 6, NCERT Solutions Class 8, NCERT Solutions Class 10, NCERT Solutions Class 9, NCERT Solutions Class 11 and NCERT Solutions Class 12 so that they can have access to quality study material.
The key to scoring well in Mathematics is to practice a number of questions in order to gain a better understanding of the concepts of the Mathematics Class 12 curriculum. Since the board examinations are based on the NCERT curriculum, students should interpret the concepts encapsulated in NCERT Solutions for Class 12 Maths Chapter 9 in Hindi adequately. Mathematics is a subject that is equipped with a large number of formulas and calculations, and so the subject requires rigorous practice. Therefore, Extramarks provides students with NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. The NCERT books do not contain solutions to the questions provided in them. Therefore, Extramarks provides them with reliable and comprehensive NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Mathematics can not be learned as it is a conceptual subject. In order to score well in Mathematics examinations, it is imperative that learners understand the basic concepts of the subject. Mathematics is not just a subject, it is a fundamental academic discipline with relevance for many scientific experiments and laws. Class 12 Mathematics curriculum is divided into two volumes, thus containing a wide range of topics. Since the syllabus of the subject is very vast, therefore students must work sincerely and grasp every concept thoroughly. Going through the prescribed NCERT textbook thoroughly is the first step to acquiring conceptual clarity. Chapter 9, Differential Equations, is one of many chapters in the Mathematics NCERT Textbook. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks are the most simplified and detailed answers analysed by educators who are experts in their fields.
Extramarks is a platform that aims at the overall academic development of students. Therefore, along with NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, Extramarks provides students with various learning modules. These provisions help students by facilitating the operation of an enjoyable and systematic learning process. Learning modules like In-Depth Performance Reports, K12 Study Material, Learn Practice Tests, Live Doubt Solving Classes, Gamified Learning Experience, Complete Syllabus Coverage, and much more help students with comprehensive learning to enable them to perform well in the board examinations.
Live Doubt Solving Classes allow students to interact with highly esteemed mentors and resolve their doubts. It is also possible to record these sessions for future reference. A wide range of subjects is offered to students in Class 12 Science. Due to the extensive syllabus of each subject, students find it difficult to keep up with all the topics. Consequently, at times, students can not go through the entire curriculum of their academic session on time. Extramarks provides students with the facility of Complete Syllabus Coverage to ensure that they do not leave any essential topic. Furthermore, Extramarks provides students with a curriculum-mapped learning experience that helps them to perform well in-board as well as in-school examinations. The In-depth Performance Reports offered by Extramarks allow students to track their academic progress and preparation level. Through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, students can acquire clarity with regard to concepts so that they can answer any question accurately in their examinations. To help students succeed academically, Extramarks assists them with a comprehensive learning schedule. Students can build a stronger mathematical foundation with the guidance of Extramarks. K12 Study Material covers all subjects of all academic sessions. Students can access authentic study material without having to search anywhere else with Extramarks’ credible and complete study materials. In addition, the Learning App provides students with customized Learn Practice Tests. In order to keep track of their academic progress, they can take these tests periodically. This helps students to perform well in their regular in-school tests as well as board examinations. With the help of various animations, Extramarks’ Gamified Learning experience makes monotonous study sessions more interactive and enjoyable for students. As a result, students learn more enthusiastically and enjoy their learning process. Extramarks offers students properly organised comprehensive courses and high-quality education along with being affordable
The Class 12 Mathematics board examination question paper can be quite diverse and complicated. Often, it does not contain straightforward questions. Moreover, it is essential for the students to develop a steady pace in order to complete the examination on time, as the question paper will be lengthy. By practising the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, students can develop a steady pace to perform mathematical operations. Furthermore, in Mathematics, students are also allotted marks on the basis of the steps performed in a solution. Students can refer to Extramarks’ NCERT Solutions for Class 12 Maths Chapter 9 in Hindi in order to be familiar with the answering pattern of the board examinations. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi have been prepared in collusion with expert educators and can be easily downloaded from the Extramarks website. The solutions provided by Extramarks are precise and organised in a well-detailed step-by-step approach so that the students can easily comprehend the concepts and operations applied to them. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are based on the concepts of Differential Equations which have been explained through simple techniques. The easy-to-understand format of these solutions favours students in the preparation for their board examinations. Extramarks provides the answers for every question in a way that helps the students in understanding how the questions have to be actually answered. Extramarks recommends students properly learn the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi so that they can polish their comprehension of mathematical concepts and then practice them in order to score better in the board examinations. This helps them with their problem-solving skills and concepts, so that they can find answers to all the difficult problems of NCERT Solutions Class 12 Maths Chapter 9 in Hindi accurately.
Class 12 students must have the NCERT curriculum on their tips. NCERT Textbooks are the primary step to building solidified fundamentals of the subject. It is very important for students to have convenient access to the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi so that they don’t have to browse endlessly through the Internet. Extramarks provides students with these solutions to enable students to have access to authentic solutions without having to look anywhere else. Chapter-9 Differential Equations can be one of the most scoring chapters in Class 12 Mathematics board examinations, therefore students should be thorough with the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Once students attain a clear interpretation of the concepts of the chapter, they can solve any complicated question related to that chapter easily. NCERT books are compiled by specialists who have expertise in their respective subjects. Therefore, if students thoroughly review the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, they can achieve proficiency in the themes that are included in the Class 12 Mathematics syllabus of Chapter 9. The question paper of the CBSE board examinations is entirely based on the NCERT curriculum.
The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks, would assist students in resolving all their doubts related to the chapter as they are curated in a very simple language. Students learn about the method of solving a Differential Equation, the degree, and order of Differential Equations and their properties, etc in this chapter. Solving the problems of all the exercises present in this chapter using the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi can facilitate learning of the theme of Differential Equations. These solutions provide step-wise explanations of all the answers in great detail so that the students do not get confused. Extramarks’ advice is to review the responses while practising the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi numerous times in order to achieve the highest possible scores on the topic of Differential Equations.
The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi cover a wide range of topics. Some of them are The Introduction and the Basic Concepts of the Chapter, Order and Degree of Differential Equations, Linear Differential Equations, Methods of Solving First Order, Homogeneous Differential Equations, First Degree of Differential Equations, and much more.
Some of the essential concepts of the chapter are-
- A Differential Equation is one that involves the dependent variable’s derivatives with regard to one or more independent variables. Students can refer to Extramarks’ NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to have a better understanding of these concepts.
- The Order of a Differential Equation is the order of the highest order derivative appearing in that equation.
- If a Differential Equation is a polynomial equation in its derivatives, it is defined. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are a very helpful learning tool for students who find the chapter a challenge.
- The Degree of a Differential Equation is the highest power of the highest order derivative in the equation. Students can refer to the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to have a better understanding of the questions related to the Degree of a Differential Equation.
- The solution which contains as many arbitrary constants as the order of the equation is called a general solution and the solution free from arbitrary constants is a particular solution. Students should thoroughly practice the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to ensure that they are familiar with the chapter’s concepts.
- To form a Differential Equation through a given function students differentiate the function successively as many times as the number of arbitrary constants in the given function and then remove the arbitrary constants. Students can review the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to be able to solve any difficult problem that can appear in the board examinations.
- Variable separable method is used to solve such an equation in which variables can be separated completely which means the terms containing x should remain with dx and terms containing y should remain with dy. Students can refer to the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to have a deeper understanding of the chapter.
Extramarks is an online learning platform that has always worked for the academic advancement of students in every way. This e-learning platform has always tried to bring the best out of them. Along with providing NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, Extramarks also provides students with educational facilities like Live Classes from Top Faculty, Doubt Solving Sessions to help students resolve their queries, In-Depth Performance Reports to track their progress, and K12 Live Class Programs. Extramarks is one of the fastest growing educational technology companies, with a global footprint. Extramarks has always focused on providing students with the best quality education. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks are up-to-date and the most credible solutions that students can find on the entire web. Extramarks is a one-stop solution for all the doubts and inquiries of students. Mathematics has perpetually been a subject that has been a major concern of students, but with the assistance of Extramarks, they will find it quite easier to learn the subject. With the perseverance of young learners and the guidance of Extramarks, they can excel in their endeavours. Extramarks recommends students to thoroughly go through the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi prior to their examinations.
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A Differential Equation comprises partial or regular derivatives, depending on the type. The Differential Equation describes the relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change. There are numerous different formulas for solving these equations that involve derivatives. Students can review the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to enhance their knowledge of the chapter. One of the best methods to solve differential equations is by using explicit formulas. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi discuss the definition, types, methods to solve these equations, order, and degree of these equations, ordinary Differential Equations with real-world examples and a solved problem, etc. There are two orders of Differential Equations, First and Second Order Differential Equations. The First Order Differential Equations have a degree equal to 1. Students can refer to the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, to have a better understanding of the concepts of the Second and First Order Differential Equations. The various types of Differential Equations are Ordinary Differential Equations, Partial Differential Equations, Linear Differential Equations, Non-Linear Differential Equations, and Non-Homogeneous and Homogeneous Differential Equations. Students can review the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to be able to solve any complicated question regarding any type of Differential Equations.
There are several real-life applications of Differential Equations. Some of them are-
- Differential Equations are used to describe the change in return or on an investment over a period of time.
- They are used in the field of Medical Science for modeling mutations, growth of cancer, or the spread of disease in the body.
- They describe a variety of exponential growths and decay.
- They also describe the motion of waves or a pendulum.
- They help Economists to find optimum investment strategies.
- They also describe the movement of electricity.
When students practice NCERT Solutions for Class 12 Maths Chapter 9 in Hindi they can easily understand the relevance of the concepts inherent in these solutions in real-life scenarios. Students should also practice the NCERT exemplar questions in order to have a better command of the concepts of the chapter. Furthermore, along with the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, Extramarks also provides students with solved sample papers, revision notes, extra questions, past years’ papers, and other highly efficient learning resources. Students can refer to the Extramarks website in order to have a bright academic career.
Access NCERT Solutions for Class 12 Maths Chapter 9 – अवकल समीकरण
The students must remember the importance of school examinations, especially, board exams in Class 12. The board exams held for Class 12 students makes them eligible to apply in various colleges and universities for higher education in any subject. These scores will help them in getting the degree of their choice or whatever else they decide to do. These exams are very important for students and hence they may feel pressured to perform well. This can affect their health badly. The below given tips might help students with this. This will help them in their preparation for the Mathematics exam. The exam could be of entrance or board, but this will help students to get past any problem that might arise.
Board exams are very important for students to score in, as they provide them a way to qualify exams and colleges to achieve their goal. Many students inquire about the best method for achieving a good score in Mathematics with their educators, peers, schoolmates, and seniors. When it comes to Mathematics, there isn’t a shortcut or cheat sheet that can enable students to accurately answer every question right away. But a few strategies that could assist students in performing better are as follows:
- Students must practise as many questions as they can find. This will improve their ability to accurately analyse questions and to find answers as quickly as possible by practising various types of questions. Students should therefore practise Mathematics on a regular basis so that they can improve their understanding.
- The strong and weak points of each student should be addressed. Students must be aware of the concepts they are lacking because these are the ones that will have a detrimental effect on their test results. The ability to create a better academic plan based on their strengths would enable students to devote more time towards improving their weak areas, while balancing it with other courses and chapters. Therefore, it’s crucial for students to identify their areas of weakness and put a lot of effort into overcoming them.
- Students must solve past years’ papers. They will gain a better understanding of the format and subjects of exams by solving past years’ papers. To identify the pattern of questions and common questions, students should analyse the test. It will help students in getting better grades in Mathematics. Students should therefore solve past years’ papers.
- Students must start off easy and work their way up. Starting with simple questions can help students gain confidence in their approach to answering questions and will also aid in figuring out how to tackle more challenging problems later on. Chapters like integrals, which are entirely new to someone in Class 12, are difficult to study as it is. Therefore, before moving on to the more challenging ones, students should complete the simpler ones.
- Before attempting to answer any questions, students must first grasp the ideas. Although Mathematics is not a theoretical discipline, it is crucial to comprehend the rationale behind how the concepts and formulae are created and how they are put into practise and also what their purpose is. Students won’t be able to properly analyse the question without this. Therefore, understanding the topics is just as crucial as practising the questions.
- Early preparation is essential. Students must make an effort to learn and practise as soon as their term begins. This will assist them in avoiding the anxiety and worry that they can experience if they rely solely on last-minute planning. Starting early could help them keep a schedule and work their way through slowly. This will help them in avoiding stress at the last minute and to identify their mistakes faster and earlier. They will be able to correct themselves better with its help.
- Taking appropriate breaks. Students need to get sufficient sleep. They must allow themselves to rest periods in between study sessions. They will be more productive if they participate in extracurricular activities like sports, which will let them concentrate on their schoolwork and the pressure of their exams. Long hours of study are vital, but their physical and mental wellbeing remain equally important. They need to spend as much time as they can learning effectively to become more physically fit and do better in school and in life.
These were some of the primary focuses or pointers for students to raise their academic performance and study Mathematics stress-free. This will help them with all aspects of their education in Mathematics, to understand, solve numerical problems, and get questions as quickly as possible.
The pattern of question paper is usually given in the sample tests available to students. In CBSE board exams, the students get a sample paper just before the examinations are held so that they can guess the pattern of the exam and the time that students may take to solve these different sections of the questions. Students can also look for questions in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and have answers ready.
A Mathematics question paper has many different types of questions. Students can get an idea about the types of questions when they see the NCERT Solutions available for many different chapters for Class 12 like the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. The NCERT Solutions Class 12 are available with the NCERT solutions other classes and subjects like for the senior classes, NCERT Solutions Class 11 and for senior secondary classes NCERT Solutions Class 10, NCERT Solutions Class 9, and for middle classes, NCERT Solutions Class 8, NCERT Solutions Class 7, NCERT Solutions Class 6 and for primary classes there is NCERT Solutions Class 5, NCERT Solutions Class 4. The NCERT Solutions Class 3, NCERT Solutions Class 2 and NCERT Solutions Class 1 are also available for certain subjects. These are available for most subjects including English, Hindi, Mathematics, Science, Social Science, EVS, Political Science, Economics, Business Studies, Accountancy, Physics, Chemistry, Biology, etc just like the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is available for Mathematics Class 12. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students find out the questions in the chapter 9 of NCERT Class 12. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are a great way for students to find answers to certain questions. It will help them in understanding all the concepts and questions clearly.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi provide an overview for students to understand the types of questions asked in the chapter and to understand how the concepts must be applied in solving the questions. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students in finding the answers of certain questions in NCERT that students might have difficulty in. The NCERT of Class 12 has various chapters like the Relations And Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity And Differentiability, Application Of Derivatives, Integrals, Application Of Integrals, Differential Equations, Vector Algebra, Three-Dimensional Geometry, Linear Programming and Probability. All these provide a different view for various concepts used during the examination to solve questions. These chapters will all provide a different type of question and a different application of concept. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help in understanding the steps to solutions and questions, as well as the application of the subject in the questions. Some of these chapters are different from others, and hence they might need more time than others to be understood.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi provide an overview of the Chapter Differential Equations of Class 12, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi has various topics including basic concepts like the degree of differential equation and the order of differential equation, general and particular solutions of a differential equation, formation of a differential equation whose general solution is given, procedure to form a differential equation that will represent a given family of curves, methods of solving first order, first degree differential equations, also the differential equations with variables separable, in addition to the homogeneous differential equations and the linear differential equations too. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students in figuring out how to answer the different types of questions available in this Chapter in Class 12.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students understand all the concepts and to form a strong foundation of them. Thorough study of this chapter through the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is important for students to be able to solve various other problems from different chapters. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students understand other concepts from related chapters, like the chapters from calculus. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is a useful tool for students to further understand the importance and application of these concepts and chapters. This might help them build interest and to understand these concepts. This will lead them to discover if they want to study Mathematics further in their life. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students to find the correct and efficient solutions to all the questions. This will help them save their time during the exam, which could help them review their answers and identify any mistakes they might have made and to correct them. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students understand the applications and importance of these concepts and their level of interest in the subject so that they can choose their field of further studies wisely.
In the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, the exercise 1 of this chapter is based on the basic concept of order and degree of a differential equation. The second exercise in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is based on the concept of general and particular solutions of a differential equation. This helps set the foundation of the chapter strong enough to be able to solve challenging problems in the chapter. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help determine the concepts of the third exercise which is formation of a differential equation whose general solution is given and the procedure to form a differential equation which will represent a given family of curves. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will clarify the concerts in the fourth exercise of the chapter, which are methods of solving first order and first degree differential equations and also the differential equations with variables separable. The fifth exercise of the chapter is based on homogeneous differential equations as given in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. The sixth exercise of the chapter is based on linear differential equations, as it can be seen in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
The miscellaneous exercise of this chapter contains questions with application to various concepts from the chapter. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students to find out solutions to various questions in the chapter. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi will help students to find out how questions must be solved. The NCERT Solutions Class 12 Maths Chapter 9 In Hindi will always help students to get better at their studies and to understand these concepts. The NCERT solutions by Extramarks also provide students with tips and tricks to study the subject and the topics better.
If they practise and study on time, they will develop as students. They will be able to get higher academic results. They’ll be able to enrol in the college and programs of their choosing thanks to this performance. Students must create a schedule for their study and set daily objectives for themselves. They won’t have to worry about the pressure of finishing the curriculum because of this. If they are aware of how much work needs to be done and when, they will have much more time to study, analyse, and improve themselves. They can better organize and manage their time for any hobbies or extracurricular activities they are interested in if they have a routine. They can retain their academic standing in this way.
Students will be able to interpret the question and provide an appropriate and accurate response during the exam with the help of repeated practice, which will also help them understand unique patterns and techniques. Furthermore, Extramarks offers mock exams so that students can practise taking exams. The mock exam will assist students in recognizing their errors and comprehending the format of the test. With the use of repeated practice, which will also assist them in understanding special methods and practices, students will be able to evaluate the question and deliver a suitable and accurate response during the exam. Secondly, Extramarks provides practice tests so that students can get comfortable taking exams. The practice test will help students understand the format of the real exam and help them identify their mistakes.
For students preparing for board exams, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is seen as helpful. It is exceptionally made with high concentration. The NCERT solutions offered by Extramarks should be utilized by students. The students may perform better in their exams with the use of the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. They will gain a deeper understanding of the Chapter Differential Equations as a result. Students’ interest in the subject and the content will be piqued, which will keep them motivated. Students can learn a lot about differential equations from the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. By using Extramarks NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, students can improve their results because they always have access to the precise answers through the Extramarks app and website. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are available for students who need to improve their problem-solving abilities and are looking for solutions.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can help students in the exam by allowing them to pinpoint their weaknesses. They can swiftly review the content prior to an exam using the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. This will allow them to save time on chapters and topics that they find difficult to understand and respond to. Therefore, for exam preparation, students need to read the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Students can better learn the format for writing and responding to questions by using the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. When students in Class 12 Mathematics Chapter 9 are struggling with a question, Class 12 NCERT Solutions Maths Chapter 9 In Hindi helps them to practise. It enables students to continue on to the following question after correcting their errors in an initial reply. They can use it to make changes to their own responses, or maybe to figure out a simpler method to respond to the question. By creating a foundation of principles for students, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi assist students in solving other pointed questions. Students can use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to prepare for tests and exams. Students can boost their performance either way.
By making study materials for the CBSE, ICSE, and numerous state boards available, Extramarks helps students with their academic work. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi is only one example of the study materials that Extramarks offers in both Hindi and English. Many students from various places of the nation can use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to help them study and achieve better scores and ultimately help their academic career. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are just one example of the various disciplines and classes for which Extramarks also offers NCERT solutions. Extramarks offers resources for CBSE, ICSE, and other state boards in addition to various entrance exams like JEE, CUET etc. to aid students in their academic preparation.
Extramarks offers additional solution pages in addition to the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Students are given Extramarks solutions after they have been reviewed for changes and potential errors. In the same way as in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, it is ensured that the solutions offered are accurate. Students are given access to these solutions just to improve their own answers and performance. Students will be able to achieve their desired scores by using these solutions, which are provided by Extramarks professionals. In the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, it is clear that the solutions are brief and simple enough for students who are learning the subject for the first time to understand. Thoroughly practising the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can only assist students in being aware of their errors as they are attempting to answer the problems.
On the website and learning app of Extramarks, students can find the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. For the benefit of students in hindi-medium schools, solutions have been translated into Hindi to make studying and comprehending solutions simpler and more engaging. There are numerous NCERT solutions on Extramarks, including the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Students can search for study materials for any exam they are planning for on Extramarks like the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Additionally accessible on Extramarks, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi were created by academic experts to help students with any challenges they may be having. Students can learn from the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
Students are aware that studying attentively is necessary in order to prepare for any exam. They can improve on the foolish mistakes they make during exams by studying and practising. Practice will help students understand a concept better, and mastering a concept thoroughly will make it easier for them to apply it to other subjects from the same or different topics and chapters. It’s important for students to understand that making mistakes is healthy and that they should view them as opportunities to grow rather than as errors. Their one response may be wrong, but with enough experience, they will be able to get it right—and by applying the proper technique. Students should prioritize their health over their schoolwork and avoid academic stress. Their study time will be more effective if they take appropriate pauses to recharge their minds. Being healthy and content can help students stay motivated to study for extended periods of time and right up until the test.
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations In Hindi
Extramarks is a platform that provides educational solutions for students of all classes from K-12. This platform provides all kinds of learning resources that are quintessential for students for their examination works, in collaboration with a brilliant set of educators who work tirelessly to ensure quality education. The traditional methods of education are constantly evolving and they need to change according to that. The past few years have seen the infusion of education with technology. The increase in internet usage and technological development has made everything dependent on it. Hence, for students to gain the optimum level of education, it is necessary to include technological advancements in learning and teaching methods. This is exactly what Extramarks has been continuously doing. Providing ed-tech solutions for students of all different age groups.
This remarkable endeavour in the field of education is still dependent on educators who work continuously for the growth of their students. Mentors of Extramarks are highly qualified and have a lot of experience. The outstanding potential of teachers and the versatility of technology are well infused in Extramarks. The mentors of Extramarks are sensitive and responsive to the needs of every student and the expectation of the standard every educational board in India demands. Due to their long years of experience, they create content that is relevant and premium. Mentors of Extramarks provide all-around development for students. With easy-to-understand engaging content, education is made more convenient and engaging. Continuous homework assignments and tests help students analyse their understanding of the subject. Additionally, weekly reports keep their parents in the loop about the development of the student’s studies.
The content crafted by the Extramarks mentors offers a wide range of study material that is relevant for students of all classes. The study material also helps students study for competitive examinations as well. The easy accessibility of every range of content gives confidence to students. Students are not inhibited by the vastness of their syllabus as they have a reliable resource to depend on. The study materials that have been created by highly qualified educators are conveniently customisable. Providing cost-effective solutions for students is the goal of the Extramarks educational technology portal.
The educators of Extramarks are constantly available to address the needs of students and their parents. Mentorship can be accessed whenever a student needs it. The mentors at Extramarks are very dedicated and passionate about the work they do. The learning material is indulging and comprehensive. The instructors delve deep into the topic and opt for interesting and interactive pedagogies. It is emphasised that studying the content engineered by Extramarks would make disciplines easy and interesting.
Extramarks curates its learning resources with utmost care. The students can study anything and everything from eminent educators in the country conveniently and comfortably. Students can rely completely on standard material for their studies and examinations. Extramarks provides rigorous training for the faculty for them to deliver the best results for the students. This makes Extramarks stand out and also makes it the best-in-class platform.
All of the materials needed for academic and competitive test preparation are available on the Extramarks website and mobile application. Extramarks can also guide students in preparing for a number of competitive examinations, including JEE Mains, NEET, JEE Advance, CUET, and others. Extramarks offers exceptionally trustworthy and precise study aids for all courses. The Extramarks website and mobile application provide students with study tools to help them prepare for a variety of examinations. CBSE, ICSE, and other important state boards are among these. Extramarks study material is continually checked and updated to accommodate the changes in the CBSE curriculum.
All NCERT Solutions are available in PDF format on the Extramarks. NCERT Solutions are available in PDF format for download by class and subject. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, Chemistry, Physics, Biology, Business Studies, Mathematics, and revision books for all subjects are available in PDF format for download. This webpage has the link to download the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Extramarks also provides NCERT Solutions for all classes from Classes 1 to 12. Use the links below to go to the respective Class solutions.
NCERT Solutions Class 12
NCERT Solutions Class 11
NCERT Solutions Class 10
NCERT Solutions Class 9
NCERT Solutions Class 8
NCERT Solutions Class 7
NCERT Solutions Class 6
NCERT Solutions Class 5
NCERT Solutions Class 4
NCERT Solutions Class 3
NCERT Solutions Class 3
NCERT Solutions Class 1
The board examinations for Classes 10 and 12 are conducted by the Central Board of Secondary Education (CBSE). Students studying for the CBSE board examination in 2022-23 must adopt these preparation techniques to secure remarkable results. Prior to the examination, students must go through the material and properly assess their strong and weak areas.
To ensure that they are completely prepared for the examinations, students should concentrate on completing the syllabus and revising each topic many times. Additionally, students can use Extramarks’ resources like NCERT Solutions Class 12 to study for a variety of questions that may appear in their board examinations. Students should study areas where they can enhance their performance in the long run.
Not only the Board Examination but also academic examination builds the groundwork for their future profession and has a big impact on it. As a result, it is very necessary to focus and study hard to perform well on this career-determining examination and gain admission to the institution of their choice and earn their ideal job. A fast overview of what they can do to achieve excellence in the Class 12 board examinations will make their preparation much easier than they expected. Even though students are familiar with the material and have revised the chapters several times they might feel inhibited by the scale of the examinations. The outcome of the Class 12 board examination is very important. Their board examination grades will represent the aptitude of students at every stage. As a result, students should know how to organise their preparation.
Here are some suggestions to assist students in completing the educational course and preparing for the CBSE Class 12 board examinations on time. Students can also use these tips and tricks for further examination preparation.
Students should begin studying for the board examinations as soon as feasible. They must develop a comprehensive timetable and strictly adhere to it. All of the major subjects or topics should be revised every few days. Mathematics questions ought to be solved regularly. For that, they can refer to the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are available on the Extramarks educational website and mobile application to download in PDF format.
Mathematics problems and numerical problems in Science are quite crucial in examinations. Students can look up the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for Mathematics. They should retain and revise all formulae regularly so that they do not overlook them when answering questions.
Students should not skip meals in between their study hours. Meals are essential for their bodies and minds to function properly.
Students gain an overview of the sorts of questions asked as well as the grading structure by attempting past year’s papers. To evaluate their performance they are also advised to practice sample papers. All the relevant materials like revision notes, NCERT Solutions for specific subjects, and NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are present on the Extramarks website.
Students must make an effort to enhance their answers in order to be able to sufficiently answer the chapter’s Miscellaneous Questions. Answering questions from the learner’s point of view and thinking while keeping the content and context of the response might help them to score better.
This technique of learning will certainly generate new ideas, doubts, and clarifications within the group, broadening their comprehension of the subject. Most importantly, group learning will help them to remember what they learned for a longer period.
Students must utilise appropriate literature for test preparation. They must finish the subject’s NCERT textbooks. If they consider reference notes. It increases the chance of fetching good marks. To estimate the difficulty level of the question papers, students must solve past year’s papers of CBSE Class 12. They will also be able to discover which components of the syllabus bear a more significant portion of marks by completing past year’s papers or sample papers. These materials are uploaded on the Extramarks website. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can be revised during preparation prior to examinations.
Understanding the examination format assists students in understanding the relevant units and preparing for a good result. To deal with Mathematics efficiently, they can use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi which will help them to understand the major concepts. It also saves precious time while preparing.
Students may utilise past year’s papers to learn about the topics that will be included in the examinations. These question papers are the only way to understand how much time to spend on each question and how to navigate the question paper. For the convenience of students, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi have been made accessible with relevant solutions. First, students should attempt to complete the chapters on their own to assess their preparation levels and comprehend the time allotment required for each part. They can then check the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and evaluate themselves.
Students who prepare well for the CBSE Class 12 examinations would be better prepared for subsequent competitive tests such as NEET, JEE Mains, and so on.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi Differential Equations are provided on the Extramarks learning portal, along with the best explanations for each question in the chapter. In this chapter, students learn about the order and degree of differential equations, the process of solving a differential equation, their characteristics, and much more. Solving the questions in the various exercises in this chapter using the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can assist students in developing a firm understanding of the principles of Differential Equations.
Students may use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi as a review tool which can boost their morale. Solving Class 12 Mathematics Chapter 9 with the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi significantly improves their preparation levels.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi may be accessed from the Extramarks website. The rest of the NCERT solutions can also be found on Extramarks. Students can also explore NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other learning resources on the mobile application.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi present Differential Equations ideas in an easy-to-understand manner, which aids students in their board examination preparation. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to each question of Chapter 9 have been supplied by the Extramarks. These solutions can assist students to comprehend how various types of questions could be addressed. Students may use these NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to practice anytime they want.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi discuss the following:
A differential equation is an equation that involves the derivatives of the dependent variable concerning the independent variable (variables). It is simplified in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi in an easily comprehensible language for students.
The order of a differential equation is the highest order derivative that occurs in the differential equation. A differential equation’s degree is defined if its derivatives are polynomial equations.
A differential equation’s degree (when specified) is the largest power (positive integer only) of its highest order derivative. To understand these core concepts, learners can study from the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi which not only provides solved questions but also comprehensive explanations.
A function that solves the given differential equation is referred to as its solution. A general solution contains as many arbitrary constants as the order of the differential equation, whereas a particular solution does not contain any arbitrary constants. These types of definitions are difficult to grasp for the students so they can rely upon the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for detailed and reliable comprehension.
To create a differential equation from a given function, they differentiate it as many times as the number of arbitrary constants in the function and then delete the arbitrary constants.
The variable separable procedure is used to solve equations that include variables that can be separated, i.e. terms involving y should remain with dy, and terms involving x should remain with dx.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for the chapter on Differential Equations employ Calculus techniques to introduce Differential Equations. Students know how to differentiate a given function f concerning an independent variable, that is, how to determine f ′(x) for a given function f for each x in its domain of definition. Students also know how to find a function f whose derivative is the function g. A formal definition for differential equations may be presented using these principles as an equation containing the derivative of the dependent variable for the independent variable. These equations can also be classified. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi contain well-explained terminologies as well as the step-wise process of calculations.
Differential Equations, as covered in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, is a challenging and lengthy lesson. As a result, the only method to master the chapter is to revise the themes on a regular basis. It will be simpler for students to progress through the chapter and build clear concepts if they have a firm foundation in the fundamentals.
The following are the exercises that have been encapsulated in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi:
Exercise 9.1: 12 Questions
Exercise 9.2: 12 Questions
Exercise 9.3: 12 Questions
Exercise 9.4: 23 Questions
Exercise 9.5:17 Questions
Exercise 9.6: 19 Questions
Various Exercises on Chapter 9 Solutions 18 Question
All of these problems and their comprehensive solutions are accessible for students to use in their preparation through the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Clearing the Class 12 board examination with perfection would be easier if students use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi effectively.
The notion of differential equations was discovered on November 11, 1675, by Gottfried Wilhelm Freiherr Leibnitz (1646 – 1716), who also provided a Calculus Identity. Leibnitz was concerned with resolving the question of finding a curve with stipulated tangents. This prompted him to explore various differential equation-related ideas. With multiple academics tackling the complexities of this problem, the equations evolved into their present form. Many such facts, as well as advice to help students overcome monotony and study with interest, may be found in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
There are various benefits to having NCERT Solutions for reference. The Extramarks solutions are divided into exercises for each chapter, such as the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi so that students do not get confused. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other exercise solutions simply make studying easier for Class 12 students who are already dealing with a vast curriculum. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other resources are meticulously crafted by professional mentors.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other exercises can be used for revision and clarification. NCERT texts and NCERT Solutions are valuable resources for CBSE Board Examinations. These resources allow learners to practice for the actual examination.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are available in PDF format for download. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi might help to comprehend the chapter’s ideas and problems.
The NCERT Solutions are essential for CBSE examinations and also serve as a basis for the forthcoming examination. Students can download the most updated NCERT Solutions for Class 1 to 12 PDF format, in both Hindi and English. One may also get them by clicking on the links provided on the Extramarks website. Students can use it as self-study material.
Students are sometimes perplexed when deciding on the best study material for Board examinations since they have to make an informed choice between an unfathomable plethora of resources available on the Internet. They can rely on the credibility of the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
NCERT Solutions are the best alternative for CBSE students. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi focus on strengthening the basics in order to help students understand key concepts. Extramarks provides the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi with answered problems in a step-by-step manner. The answer formats deployed in NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can be utilised straight in the examinations
Difficult concepts and ideas have been fragmented, organised, and explained in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to make studying easier. Students are better prepared for examinations when they use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
NCERT Solutions offered by Extramarks enable comprehensive learning while also supporting students in the development of skills, as well as logical and reasoning abilities. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi provide brief points for revision before the examination.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi explain the solutions to each exercise in Class 12 Mathematics Chapter 9. It is one of the most essential tools for students in their assignments and board preparations. It is one of the best tools available to CBSE students.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are created in line with the Mathematics syllabus established by the CBSE and provide appropriate advice and a comprehensive learning experience. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi would help students prepare for their Mathematics examination by explaining challenging concepts in a clear and basic way.
Class 12 students should finish Chapter 9 by using NCERT Solutions Class 12 Maths Chapter 9 In Hindi effectively, which will help while preparing for their examinations. Solving the exercises according to the Class 12 NCERT Solutions Maths Chapter 9 In Hindi is one of the most crucial tasks in preparing for the Class 12 examination. By addressing recurring doubts while solving exercises, students may assess themselves and become more aware of their abilities and limitations. By practising with the NCERT Solutions Class 12 Maths Chapter 9 In Hindi, students are put in the proper frame of mind. This makes candidates feel more at ease with regard to the examinations.
Class 12 is a very important year for students. At this point, students make decisions about their careers that will shape the rest of their lives. Given the wide range of professional opportunities available to students who choose to study Science after 12th grade, they have many future prospects.
The students in Class 11 have a wide range of science courses to choose from. The most popular choices among the many alternatives are Mathematics, Physics, Chemistry, and Biology.
After High School, pursuing the courses that the aspirant is interested in would help them excel in their growth. For class 12 students with a foundation in Science and the subjects of PCM (Physics, Chemistry, and Mathematics), there are a plethora of courses available. Students can select any subject that best suits their interests and allows them to reap significant benefits, whether they want to become Engineers, Accountants, or Social Workers. Students with PCM can choose from the majority of Biology courses.
After completing their 12th grade in Mathematics, students have a wide range of job options and educational options. B.Tech./Engineering degrees in mechanical, information technology, computer science, etc. are a few examples. Aspirants have a second option outside engineering: the CA/CS examinations. After passing Mathematics in 12th grade, this is a fantastic alternative. Students can also pursue a professional course in BCA, B.Arch, etc. because these courses also provide lucrative employment in these fields.
The Extramarks Education Technology portal offers courses and online and offline learning opportunities. Students who use Extramarks receive comprehensive performance reports that highlight their pluses and minuses, time management abilities, chapter-by-chapter mastery, and much more. Students can find a one-stop experience for all of their class-related needs with Extramarks.
Extramarks’ primary point of differentiation is the fact that its curriculum was created after extensive research into the most efficient and efficacious teaching methods. The Extramarks educational website provides learning resources and curriculum-mapped assets which are remarkable for their compatibility with students’ requirements.
Extramarks is one of the major educational technology platforms with the quickest growth. Starting with preschool, comprehensive K–12 coverage, higher education, and challenging tests. They have more than 6 million students, and they use Extramarks’ platform on average for 97 minutes every day. To maintain this community of learners’ growth and prosperity, Extramarks is dedicated.
Today’s education system, which is a necessary component of a person’s life, has a number of different ways to affect people. Today, learning happens in a variety of ways outside only through books. Because of how far technology has advanced, learning online is currently a very effective and fruitful method of information acquisition. Extramarks, a prominent educational website, has taken an effort to offer students top-notch learning assets so they can study, practice, and succeed academically. This e-learning website serves as an example to demonstrate how technology may improve learning processes and make them more efficient.
Coming to “Why Extramarks?”
- The 360 Degree Approach
The 360-degree approach is the ideal procedure that Extramarks strictly adheres to. This process has been formally implemented in the e-learning platform because researchers and academics have discovered it to be a very effective one. This process’s three main steps are the learning, practising, and testing phases. Any student who adheres to these three basic guidelines would undoubtedly succeed in their academic endeavours.
2. Online Mentoring
Despite being an online technique, it does not fall behind in matching the youngster with a mentor. All students, from those in elementary school to those pursuing higher education, have the option of being mentored for any subject or topic that they may find challenging. Therefore, Extramarks creates a bridge to connect them even when the teacher is not actually present with the student.
3. Scheduler for studies
Due to extracurricular activities or other factors, it frequently happens that a child loses track of time and disturbs the study routine. This problem is solved by Extramarks by providing a “scheduler” that prevents any study-related topic from slipping by and keeps the learner informed about it.
4. Progress Assessment
A student is made aware of their own strengths and drawbacks owing to the online examination feature offered by Extramarks. As a result, the child’s development is aided. He or she is given the chance to perform better in any subject or topic in which they lack or might not feel confident.
Extramarks is a platform that provides educational solutions for students of all classes from K-12. This platform provides all kinds of learning resources that are quintessential for students for their examination works, in collaboration with a brilliant set of educators who work tirelessly to ensure quality education. The traditional methods of education are constantly evolving and they need to change according to that. The past few years have seen the infusion of education with technology. The increase in internet usage and technological development has made everything dependent on it. Hence, for students to gain the optimum level of education, it is necessary to include technological advancements in learning and teaching methods. This is exactly what Extramarks has been continuously doing. Providing ed-tech solutions for students of all different age groups.
This remarkable endeavour in the field of education is still dependent on educators who work continuously for the growth of their students. Mentors of Extramarks are highly qualified and have a lot of experience. The outstanding potential of teachers and the versatility of technology are well infused in Extramarks. The mentors of Extramarks are sensitive and responsive to the needs of every student and the expectation of the standard every educational board in India demands. Due to their long years of experience, they create content that is relevant and premium. Mentors of Extramarks provide all-around development for students. With easy-to-understand engaging content, education is made more convenient and engaging. Continuous homework assignments and tests help students analyse their understanding of the subject. Additionally, weekly reports keep their parents in the loop about the development of the student’s studies.
The content crafted by the Extramarks mentors offers a wide range of study material that is relevant for students of all classes. The study material also helps students study for competitive examinations as well. The easy accessibility of every range of content gives confidence to students. Students are not inhibited by the vastness of their syllabus as they have a reliable resource to depend on. The study materials that have been created by highly qualified educators are conveniently customisable. Providing cost-effective solutions for students is the goal of the Extramarks educational technology portal.
The educators of Extramarks are constantly available to address the needs of students and their parents. Mentorship can be accessed whenever a student needs it. The mentors at Extramarks are very dedicated and passionate about the work they do. The learning material is indulging and comprehensive. The instructors delve deep into the topic and opt for interesting and interactive pedagogies. It is emphasised that studying the content engineered by Extramarks would make disciplines easy and interesting.
Extramarks curates its learning resources with utmost care. The students can study anything and everything from eminent educators in the country conveniently and comfortably. Students can rely completely on standard material for their studies and examinations. Extramarks provides rigorous training for the faculty for them to deliver the best results for the students. This makes Extramarks stand out and also makes it the best-in-class platform.
All of the materials needed for academic and competitive test preparation are available on the Extramarks website and mobile application. Extramarks can also guide students in preparing for a number of competitive examinations, including JEE Mains, NEET, JEE Advance, CUET, and others. Extramarks offers exceptionally trustworthy and precise study aids for all courses. The Extramarks website and mobile application provide students with study tools to help them prepare for a variety of examinations. CBSE, ICSE, and other important state boards are among these. Extramarks study material is continually checked and updated to accommodate the changes in the CBSE curriculum.
All NCERT Solutions are available in PDF format on the Extramarks. NCERT Solutions are available in PDF format for download by class and subject. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, Chemistry, Physics, Biology, Business Studies, Mathematics, and revision books for all subjects are available in PDF format for download. This webpage has the link to download the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Extramarks also provides NCERT Solutions for all classes from Classes 1 to 12. Use the links below to go to the respective Class solutions.
NCERT Solutions Class 12
NCERT Solutions Class 11
NCERT Solutions Class 10
NCERT Solutions Class 9
NCERT Solutions Class 8
NCERT Solutions Class 7
NCERT Solutions Class 6
NCERT Solutions Class 5
NCERT Solutions Class 4
NCERT Solutions Class 3
NCERT Solutions Class 3
NCERT Solutions Class 1
Tips and Tricks for Exam Preparation
The board examinations for Classes 10 and 12 are conducted by the Central Board of Secondary Education (CBSE). Students studying for the CBSE board examination in 2022-23 must adopt these preparation techniques to secure remarkable results. Prior to the examination, students must go through the material and properly assess their strong and weak areas.
To ensure that they are completely prepared for the examinations, students should concentrate on completing the syllabus and revising each topic many times. Additionally, students can use Extramarks’ resources like NCERT Solutions Class 12 to study for a variety of questions that may appear in their board examinations. Students should study areas where they can enhance their performance in the long run.
Not only the Board Examination but also academic examination builds the groundwork for their future profession and has a big impact on it. As a result, it is very necessary to focus and study hard to perform well on this career-determining examination and gain admission to the institution of their choice and earn their ideal job. A fast overview of what they can do to achieve excellence in the Class 12 board examinations will make their preparation much easier than they expected. Even though students are familiar with the material and have revised the chapters several times they might feel inhibited by the scale of the examinations. The outcome of the Class 12 board examination is very important. Their board examination grades will represent the aptitude of students at every stage. As a result, students should know how to organise their preparation.
Here are some suggestions to assist students in completing the educational course and preparing for the CBSE Class 12 board examinations on time. Students can also use these tips and tricks for further examination preparation.
Students should begin studying for the board examinations as soon as feasible. They must develop a comprehensive timetable and strictly adhere to it. All of the major subjects or topics should be revised every few days. Mathematics questions ought to be solved regularly. For that, they can refer to the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are available on the Extramarks educational website and mobile application to download in PDF format.
Mathematics problems and numerical problems in Science are quite crucial in examinations. Students can look up the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for Mathematics. They should retain and revise all formulae regularly so that they do not overlook them when answering questions.
Students should not skip meals in between their study hours. Meals are essential for their bodies and minds to function properly.
Students gain an overview of the sorts of questions asked as well as the grading structure by attempting past year’s papers. To evaluate their performance they are also advised to practice sample papers. All the relevant materials like revision notes, NCERT Solutions for specific subjects, and NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are present on the Extramarks website.
Students must make an effort to enhance their answers in order to be able to sufficiently answer the chapter’s Miscellaneous Questions. Answering questions from the learner’s point of view and thinking while keeping the content and context of the response might help them to score better.
This technique of learning will certainly generate new ideas, doubts, and clarifications within the group, broadening their comprehension of the subject. Most importantly, group learning will help them to remember what they learned for a longer period.
Students must utilise appropriate literature for test preparation. They must finish the subject’s NCERT textbooks. If they consider reference notes. It increases the chance of fetching good marks. To estimate the difficulty level of the question papers, students must solve past year’s papers of CBSE Class 12. They will also be able to discover which components of the syllabus bear a more significant portion of marks by completing past year’s papers or sample papers. These materials are uploaded on the Extramarks website. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can be revised during preparation prior to examinations.
Understanding the examination format assists students in understanding the relevant units and preparing for a good result. To deal with Mathematics efficiently, they can use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi which will help them to understand the major concepts. It also saves precious time while preparing.
Students may utilise past year’s papers to learn about the topics that will be included in the examinations. These question papers are the only way to understand how much time to spend on each question and how to navigate the question paper. For the convenience of students, the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi have been made accessible with relevant solutions. First, students should attempt to complete the chapters on their own to assess their preparation levels and comprehend the time allotment required for each part. They can then check the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and evaluate themselves.
Students who prepare well for the CBSE Class 12 examinations would be better prepared for subsequent competitive tests such as NEET, JEE Mains, and so on.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi Differential Equations are provided on the Extramarks learning portal, along with the best explanations for each question in the chapter. In this chapter, students learn about the order and degree of differential equations, the process of solving a differential equation, their characteristics, and much more. Solving the questions in the various exercises in this chapter using the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi can assist students in developing a firm understanding of the principles of Differential Equations.
Students may use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi as a review tool which can boost their morale. Solving Class 12 Mathematics Chapter 9 with the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi significantly improves their preparation levels.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi may be accessed from the Extramarks website. The rest of the NCERT solutions can also be found on Extramarks. Students can also explore NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other learning resources on the mobile application.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi present Differential Equations ideas in an easy-to-understand manner, which aids students in their board examination preparation. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to each question of Chapter 9 have been supplied by the Extramarks. These solutions can assist students to comprehend how various types of questions could be addressed. Students may use these NCERT Solutions For Class 12 Maths Chapter 9 In Hindi to practice anytime they want.
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations In Hindi
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi discuss the following:
A differential equation is an equation that involves the derivatives of the dependent variable concerning the independent variable (variables). It is simplified in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi in an easily comprehensible language for students.
The order of a differential equation is the highest order derivative that occurs in the differential equation. A differential equation’s degree is defined if its derivatives are polynomial equations.
A differential equation’s degree (when specified) is the largest power (positive integer only) of its highest order derivative. To understand these core concepts, learners can study from the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi which not only provides solved questions but also comprehensive explanations.
A function that solves the given differential equation is referred to as its solution. A general solution contains as many arbitrary constants as the order of the differential equation, whereas a particular solution does not contain any arbitrary constants. These types of definitions are difficult to grasp for the students so they can rely upon the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for detailed and reliable comprehension.
To create a differential equation from a given function, they differentiate it as many times as the number of arbitrary constants in the function and then delete the arbitrary constants.
The variable separable procedure is used to solve equations that include variables that can be separated, i.e. terms involving y should remain with dy, and terms involving x should remain with dx.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi for the chapter on Differential Equations employ Calculus techniques to introduce Differential Equations. Students know how to differentiate a given function f concerning an independent variable, that is, how to determine f ′(x) for a given function f for each x in its domain of definition. Students also know how to find a function f whose derivative is the function g. A formal definition for differential equations may be presented using these principles as an equation containing the derivative of the dependent variable for the independent variable. These equations can also be classified. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi contain well-explained terminologies as well as the step-wise process of calculations.
Differential Equations, as covered in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi, is a challenging and lengthy lesson. As a result, the only method to master the chapter is to revise the themes on a regular basis. It will be simpler for students to progress through the chapter and build clear concepts if they have a firm foundation in the fundamentals.
The following are the exercises that have been encapsulated in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi:
Exercise 9.1: 12 Questions
Exercise 9.2: 12 Questions
Exercise 9.3: 12 Questions
Exercise 9.4: 23 Questions
Exercise 9.5:17 Questions
Exercise 9.6: 19 Questions
Various Exercises on Chapter 9 Solutions 18 Question
All of these problems and their comprehensive solutions are accessible for students to use in their preparation through the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi. Clearing the Class 12 board examination with perfection would be easier if students use the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi effectively.
The notion of differential equations was discovered on November 11, 1675, by Gottfried Wilhelm Freiherr Leibnitz (1646 – 1716), who also provided a Calculus Identity. Leibnitz was concerned with resolving the question of finding a curve with stipulated tangents. This prompted him to explore various differential equation-related ideas. With multiple academics tackling the complexities of this problem, the equations evolved into their present form. Many such facts, as well as advice to help students overcome monotony and study with interest, may be found in the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi.
There are various benefits to having NCERT Solutions for reference. The Extramarks solutions are divided into exercises for each chapter, such as the NCERT Solutions For Class 12 Maths Chapter 9 In Hindi so that students do not get confused. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other exercise solutions simply make studying easier for Class 12 students who are already dealing with a vast curriculum. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other resources are meticulously crafted by professional mentors.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi and other exercises can be used for revision and clarification. NCERT texts and NCERT Solutions are valuable resources for CBSE Board Examinations. These resources allow learners to practice for the actual examination.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are available in PDF format for download. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi might help to comprehend the chapter’s ideas and problems.
The NCERT Solutions are essential for CBSE examinations and also serve as a basis for the forthcoming examination. Students can download the most updated NCERT Solutions for Class 1 to 12 PDF format, in both Hindi and English. One may also get them by clicking on the links provided on the Extramarks website. Students can use it as self-study material.
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NCERT Solutions offered by Extramarks enable comprehensive learning while also supporting students in the development of skills, as well as logical and reasoning abilities. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi provide brief points for revision before the examination.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi explain the solutions to each exercise in Class 12 Mathematics Chapter 9. It is one of the most essential tools for students in their assignments and board preparations. It is one of the best tools available to CBSE students.
The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi are created in line with the Mathematics syllabus established by the CBSE and provide appropriate advice and a comprehensive learning experience. The NCERT Solutions For Class 12 Maths Chapter 9 In Hindi would help students prepare for their Mathematics examination by explaining challenging concepts in a clear and basic way.
Class 12 students should finish Chapter 9 by using NCERT Solutions Class 12 Maths Chapter 9 In Hindi effectively, which will help while preparing for their examinations. Solving the exercises according to the Class 12 NCERT Solutions Maths Chapter 9 In Hindi is one of the most crucial tasks in preparing for the Class 12 examination. By addressing recurring doubts while solving exercises, students may assess themselves and become more aware of their abilities and limitations. By practising with the NCERT Solutions Class 12 Maths Chapter 9 In Hindi, students are put in the proper frame of mind. This makes candidates feel more at ease with regard to the examinations.
Class 12 is a very important year for students. At this point, students make decisions about their careers that will shape the rest of their lives. Given the wide range of professional opportunities available to students who choose to study Science after 12th grade, they have many future prospects.
The students in Class 11 have a wide range of science courses to choose from. The most popular choices among the many alternatives are Mathematics, Physics, Chemistry, and Biology.
After High School, pursuing the courses that the aspirant is interested in would help them excel in their growth. For class 12 students with a foundation in Science and the subjects of PCM (Physics, Chemistry, and Mathematics), there are a plethora of courses available. Students can select any subject that best suits their interests and allows them to reap significant benefits, whether they want to become Engineers, Accountants, or Social Workers. Students with PCM can choose from the majority of Biology courses.
After completing their 12th grade in Mathematics, students have a wide range of job options and educational options. B.Tech./Engineering degrees in mechanical, information technology, computer science, etc. are a few examples. Aspirants have a second option outside engineering: the CA/CS examinations. After passing Mathematics in 12th grade, this is a fantastic alternative. Students can also pursue a professional course in BCA, B.Arch, etc. because these courses also provide lucrative employment in these fields.
The Extramarks Education Technology portal offers courses and online and offline learning opportunities. Students who use Extramarks receive comprehensive performance reports that highlight their pluses and minuses, time management abilities, chapter-by-chapter mastery, and much more. Students can find a one-stop experience for all of their class-related needs with Extramarks.
Extramarks’ primary point of differentiation is the fact that its curriculum was created after extensive research into the most efficient and efficacious teaching methods. The Extramarks educational website provides learning resources and curriculum-mapped assets which are remarkable for their compatibility with students’ requirements.
Extramarks is one of the major educational technology platforms with the quickest growth. Starting with preschool, comprehensive K–12 coverage, higher education, and challenging tests. They have more than 6 million students, and they use Extramarks’ platform on average for 97 minutes every day. To maintain this community of learners’ growth and prosperity, Extramarks is dedicated.
Today’s education system, which is a necessary component of a person’s life, has a number of different ways to affect people. Today, learning happens in a variety of ways outside only through books. Because of how far technology has advanced, learning online is currently a very effective and fruitful method of information acquisition. Extramarks, a prominent educational website, has taken an effort to offer students top-notch learning assets so they can study, practice, and succeed academically. This e-learning website serves as an example to demonstrate how technology may improve learning processes and make them more efficient.
Coming to “Why Extramarks?”
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The 360-degree approach is the ideal procedure that Extramarks strictly adheres to. This process has been formally implemented in the e-learning platform because researchers and academics have discovered it to be a very effective one. This process’s three main steps are the learning, practising, and testing phases. Any student who adheres to these three basic guidelines would undoubtedly succeed in their academic endeavours.
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Despite being an online technique, it does not fall behind in matching the youngster with a mentor. All students, from those in elementary school to those pursuing higher education, have the option of being mentored for any subject or topic that they may find challenging. Therefore, Extramarks creates a bridge to connect them even when the teacher is not actually present with the student.
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Due to extracurricular activities or other factors, it frequently happens that a child loses track of time and disturbs the study routine. This problem is solved by Extramarks by providing a “scheduler” that prevents any study-related topic from slipping by and keeps the learner informed about it.
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A student is made aware of their own strengths and drawbacks owing to the online examination feature offered by Extramarks. As a result, the child’s development is aided. He or she is given the chance to perform better in any subject or topic in which they lack or might not feel confident.
Extramarks has provided an index for the entire academic syllabus of Class 12 Mathematics. It covers every chapter of the Class 12 Mathematics curriculum, including the themes and their subtopics. These mathematical themes incorporated in the education of Class 12 are very beneficial for students as they get ready for their board examinations as well as for various competitive tests like JEE. Extramarks has also provided detailed NCERT Solutions for Class 12 Maths Chapter 9 in Hindi devoted entirely to Chapter 9 in Hindi.
All of the topics covered in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks must be thoroughly understood by students. The subjects covered in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are available at Extramarks so that students can gain a deeper comprehension of the ideas and improve their problem-solving skills. Students can learn more about each topic in depth by clicking on the links of the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided on the Extramarks website and mobile application. Alongside, Extramarks also provides NCERT Solutions for all grades from 1 to 12. Here’s a list of all the classes Extramarks provides NCERT Solutions for:
- NCERT Solutions Class 1
- NCERT Solutions Class 2
- NCERT Solutions Class 3
- NCERT Solutions Class 4
- NCERT Solutions Class 5
- NCERT Solutions Class 6
- NCERT Solutions Class 7
- NCERT Solutions Class 8
- NCERT Solutions Class 9
- NCERT Solutions Class 10
- NCERT Solutions Class 11
- NCERT Solutions Class 12
Class 12 Mathematics Chapters
Chapter 1: Relations and Functions
1.1 Introduction
1.2 Types of Relations
1.3 Types of Functions
1.4 Composition of Functions and Invertible Function
1.5 Binary Operations
Chapter 2: Inverse Trigonometric Functions
2.1 Introduction and Basic Concepts or Inverse Trigonometric Functions
2.3 Properties of Inverse Trigonometric Functions
Chapter 3: Matrices
3.1 Introduction
3.2 Matrix
3.3 Types of Matrices
3.4 Operation on Matrices
3.5 Transpose of a Matrix
3.6 Symmetric and Skew Symmetric Matrices
3.7 Elementary Operation (Transformation) of a Matrix
3.8 Invertible Matrices
Chapter 4: Determinants
4.1 Introduction
4.2 Determinant
4.3 Properties of Determinants
4.4 Area of a Triangle
4.5 Minors and Cofactors
4.6 Adjoint and Inverse of a Matrix
4.7 Applications of Determinants and Matrices
Chapter 5: Continuity and Differentiability
5.1 Introduction to Continuity and Differentiability
5.2 Exponential and Logarithmic Functions
5.3 Logarithmic Differentiation
5.4 Derivatives of Functions in Parametric Forms
5.5 Second Order Derivative
5.6 Mean Value Theorem
Chapter 6: Applications of Derivatives
6.1 Introduction
6.2 Rate of Change of Quantities
6.3 Increasing and Decreasing Functions
6.4 Tangents and Normals
6.5 Approximations
6.6 Maxima and Minima
Chapter 7: Integrals
7.1 Introduction to Integral Calculus
7.2 Integration as an Inverse Process of Differentiation
7.3 Methods of Integration
7.4 Integrals of Some Particular Functions
7.5 Integration by Partial Fractions
7.6 Integration by Parts
7.7 Definite Integral
7.8 Fundamental Theorem of Calculus
7.9 Evolution of Definite Integrals by Substitution
7.10 Some Properties of Definite Integrals
Chapter 8: Application of Integrals
8.1 Introduction
8.2 Area under Simple Curves
8.3 Area Between Two Curves
Chapter 9: Differential Equations
9.1 Introduction to Differential Equations
9.2 Basic Concepts
9.3 General and Particular Solutions of a Differential Equation
9.4 Formation of a Differential Equation whose General Solution is given
9.5 Methods of Solving First Order, First Degree Differential Equations
Chapter 10: Vector Algebra
10.1 Introduction to Vectors
10.2 Some Basic Concepts
10.3 Types of Vectors
10.4 Addition of Vectors
10.5 Multiplication of a Vector by a Scalar
10.6 Product of Two Vectors
Chapter 11: Three Dimensional Geometry
11.1 Introduction
11.2 Direction Cosines and Direction Ratios of a Line
11.3 Equation of a Line in Space
11.4 Angle between Two Lines
11.5 Short Distance between Two Lines
11.6 Plane
11.7 Coplanarity of Two Lines
11.8 Angle between Two Planes
11.9 Distance of a Point from a Plane
11.10 Angle between a Line and a Plane
Chapter 12: Linear Programming
12.1 Introduction to Linear Programming
12.2 Linear Programming Problem and its Mathematical Formulation
12.3 Different Types of Linear Programming Problems
Chapter 13: Probability
13.1 Probability Introduction
13.2 Conditional Probability
13.3 Multiplication Theorem on Probability
13.4 Independent Events
13.5 Bayes’ Theorem
13.6 Random Variables and its Probability Distributions
13.7 Bernoulli Trials and Binomial Distribution
Among all the chapters in the syllabus, the most important one is Class 12 Mathematics Chapter 9. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi as well as English are available on the Extramarks website and mobile application for students’ reference. These NCERT Solutions for Class 12 Maths Chapter 9 in Hindi give students a clear-cut and in-depth insight into the concepts contained in the chapter.
Any student can easily study the topics contained in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi (for which links are provided) and grasp the principles completely. In order to help students with developing their problem-solving skills, which will aid them not only in their Class 12 board examinations but also in competitive tests, the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi even feature a variety of examples and practice questions.
To aid with their preparation, students of various classes are also given access to sample papers, past years’ papers, advice, and crucial questions. Additionally, students can sign up on Extramarks to gain access to a variety of interactive arithmetic video classes to better understand the concepts.
Extramarks provides the best possible explanations for each question in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi for Differential Equations. The CBSE Syllabus 2022–23 includes this chapter. In these NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, students discover a lot of information regarding differential equations, including their properties, method of solution, order, and degree. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi can assist students in gaining a firm understanding of the different exercises in this chapter by providing solutions to the inherent questions.
The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi by Extramarks have been developed and compiled by prominent educators of Mathematics. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi cover all the crucial themes, and each solution includes a thorough explanation to aid students in better grasping the concepts. Students’ preparation for the JEE and all other examinations offered by the CBSE will be greatly aided by these NCERT Solutions.
Numerous exercises are included in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi provided by Extramarks and based on Differential Equations. For students’ better understanding, comprehensive, step-by-step solutions are given for every question in every exercise. Students will find these NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to be very beneficial for both their practice sessions and homework assignments.
On the Extramarks website, the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are also accessible in PDF format. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are available online in PDF version, so students can quickly access them from any device and use them for convenient, speedy review. The subject matter specialists have crafted for each of the themes in this chapter, full, step-by-step answers with the utmost care. Students’ preparation for the CBSE board examinations and their preparation for any important competitive examinations depend heavily on the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi.
Even though students persevere sincerely with their efforts throughout the session, revision is deemed necessary before the examinations. It is necessary to review all the concepts before the examination as it would help one enhance their memory retention abilities. This is where the NCERT Solutions Class 12 Maths Chapter 9 in Hindi become indispensable.
Students will benefit from the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi in the following ways:
Students can identify their weaknesses and strengths while reviewing the topics contained in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi, allowing them to tailor their preparation to their own needs. Before tests, students can quickly review the entire chapter by referring to the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi.
Having preparation notes is crucial when getting ready for the tests. Extramarks provides students with the most useful NCERT Solutions for Class 12 Maths Chapter 9 in Hindi to help them master the topic of Differential Equations for the CBSE Class 12 examination. Students would benefit from using these NCERT Solutions for Class 12 Maths Chapter 9 in Hindi notes as they study for their academic examinations as well as for competitive tests like the National Science Olympiad. The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are written in simple language by subject matter experts while taking into account the most recent exam format and CBSE requirements. These notes on the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are a fantastic tool to swiftly review material prior to exams.
According to the Class 12 NCERT Solutions Maths Chapter 9 in Hindi, a differential equation in Mathematics consists of an independent variable, a dependent variable, and differential coefficients that describe how the dependent variable changes in relation to the independent variable. Students can review these topics in greater detail with the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi.
The topics and sub-topics covered in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi notes are:
- Introduction
- Basic Concepts
- Order of a differential equation
- Degree of a differential equation
- General and Particular Solutions of a Differential Equation
- Formation of a Differential Equation whose General Solution is given
- Procedure to form a differential equation that will represent a given family of curves
- Methods of Solving First Order, First Degree Differential Equations
- Differential equations with variables separable
- Homogeneous differential equations
- Linear differential equations
The advantages of using the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are as follows:
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Calculus principles have been used to explain the new subject of differential equations in NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Previously, students were taught how to find f ′(x) for a given function f at each x in its definition domain in order to differentiate a given function f with regard to an independent variable.
Additionally, students were instructed on how to locate a function f whose derivative is a function g. These ideas allow for the formal description of differential equations as an equation involving the derivative of the dependent variable with respect to the independent variable. These equations can be classified by students as well.
The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi demonstrate another feature of calculus. Learners can easily complete and comprehensively understand the questions in these NCERT Solutions for Class 12 Maths Chapter 9 in Hindi once they have a concrete understanding of the various approaches to differentiating and integrating a function.
Students can download the exercises from the links on the Extramarks website and mobile application to practice the problems incorporated in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Differential Equations have wide relevance in practical life. These equations are used to solve various geometric problems involving various types of curves, estimate epidemic spread, and determine population growth and decay.
Differential Equations is a challenging and protracted topic enclosed in NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. Therefore, practising the concepts frequently is the only way to master the chapter. It will be simpler for students to navigate the chapter and form precise notions if they have a reliable and holistic understanding of the fundamentals. To aid students with their learning of Differential Equations, the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi contains 113 sums of various types. Students must use their mathematical analysis skills to solve 72 challenging problems; 15 are straightforward, and 26 are of medium difficulty. For students, who are their search of quality academic resources, a thorough explanation of each exercise question from the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi is provided on the Extramarks website and mobile application.
Related Chapters
FAQs (Frequently Asked Questions)
1. Where can students access the Class 12 NCERT Solutions Maths Chapter 9 in Hindi?
Students can access the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi on the Extramarks website and mobile application.
2. Why are the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi important?
The foundation of the board examinations is the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi. The CBSE examinations are formatted in accordance with the NCERT textbook. These NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are also edited in a way that gives readers a full picture of the chapter. As a result, the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi must be used by students to fully understand the course and to double-check their responses after answering a question.
3. How many questions are there in the NCERT Solutions for Class 12 Maths Chapter 9 in Hindi?
The NCERT Solutions for Class 12 Maths Chapter 9 in Hindi based on Differential Equations have 7 exercises and a total of 113 problems. Out of this, there are a variety of exercises made up of higher-order issues that demand students to use their analytical skills and auxiliary mathematics abilities in addition to recurrent review. These NCERT Solutions for Class 12 Maths Chapter 9 in Hindi are excellent summaries that aid students in developing a comprehensive understanding of the subject.