NCERT Solutions Class 12 Maths Chapter 9 Exercise 9.4

Mathematics has always been a subject of interest for students. Although in Class 11 and Class 12, Mathematics includes Calculus in addition to Algebra, Trigonometry, and Data Analysis. Differential Equations may be new for all students, and this can lead them to be curious about them. Some students may struggle with it, and some may welcome the challenges. Students might find it difficult to understand the concepts on the first try, and solving the NCERT Exercise could turn out to be a challenging task.. However, practising the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 could allow them to understand the topic better. Learning new concepts is always a challenge, but it proves  quite satisfactory as soon as one masters them.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are curated to help students solve Differential Equation Exercise 9.4. Solving NCERT is the first step for students when starting to revise a new chapter or concept. It is important for students to practise the NCERT Solutions as they are the primary ones, as practising them will lead to a more comprehensive understanding of the chapter and its applications. Solving and practising are of core importance in Mathematics. Calculus is a new concept for students in Class 11 and Class 12; it is unlike any other chapter practised by them. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are useful for students when they are solving Chapter 9 of Maths Class 12. These can prove to be helpful to them if students get an answer wrong, or it takes them too long to solve any question.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 help students find multiple ways to solve the questions in lesser time.  This way, they may not face problems with time while writing the exam, whether it be their board examination or their entrance exams, like JEE, CUET, or other engineering exams. Students will benefit from having access to the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 prior to the exam to read through.Going through the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will help them remember how certain questions in Exercise 9.4 Class 12 are solved. Ex 9.4 Class 12 could make students wary as it is a comparatively new exercise, and students might find it hard to do it on their own. This is why Extramarks’ NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 can help them practise for their exams.

Calculus is essential not only for preparing for board exams, but also for exams like JEE and other competitive exams that students take to get into the college of their choice.Calculus is an integral part of each student’s preparationThe NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 help students with this preparation. Calculus is also an important part of the preparation for various other exams, such as the exam for the National Defence Academy (NDA) and exams like BITSAT, JEE, VITEEE, etc. Possessing the knowledge of how to solve mathematics questions is necessary, as it is useful for solving logical reasoning and aptitude questions in exams. Looking for correct and understandable methods of solution is important for anyone who wants to solve questions timely during the exam and recheck their answers. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will be of help with this, as they allow students to revise timely and thoroughly. Class 12 Maths is mostly studied by students who choose Science or Commerce as their field of study after Class 10. Class 11 students might find themselves struggling with Calculus topics like Limits and Differentiation in Class 11 as they are newly introduced to them at the time. However,  after working on these for a while, they can solve it all on their own. They can remember what they have learned while solving the questions given in NCERT, and they can also take help from the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 if they get stuck n any question.

It is notable that Mathematics is required by students pursuing a career in Engineering, Data Sciences, Data Analytics, Economics, etc. Students can select a lot of diverse fields if they want to pursue Mathematics for higher studies. Although it is always good to be aware of their interests and capabilities to make an accurate choice, students are advised to explore their career options before making a decision. However, any choice made by students will lead them to a new experience. New experiences and exploration will help students find their areas of study professionally. Students must know that trying is a must for whatever they wish to do.

Students should seek assistance if they feel that they are taking too long to answer a question. They do not have to dwell on the questions, they can ask teachers and their peers for help. They can also look for answers on the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 available on the Extramarks app and website. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 provided to students are to help them overcome any challenge they may face while studying Differential Equations.

Students must remember the importance of practising questions given in the NCERT as these will help them with all Mathematics examinations. It is important to ensure that students are up-to-date with their syllabus and academic schedule. Practising plays an essential role while studying Maths. It is recommended that students start their practise with NCERT questions, and they can get the solutions such as the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4. NCERT textbooks are recommended by teachers and the CBSE Board for preparing forthe examination held at the end of the term.

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations (Ex 9.4) Exercise 9.4

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are provided by Extramarks on both the website and the app. Extramarks’ NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 can be accessed through a browser or by downloadingthe app from the app store. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are solutions made to help reduce the time they take while solving a certain question so that students may write the exam in a proper and timely manner. It can help with last-minute revision before exams, as students do not have enough time to solve the entire book again. They can just quickly go through the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 and revise the important questions. They may find similar questions in exams, and by practising with the help of the Extramarks resources, it would save them the time of thinking about the method of solving. They can instead begin with the questions as soon as they realise they have already practised them.Students would find it useful to use such tools to prepare for every examination, like the board exam, JEE, JEE(advanced), etc. Being familiar with solving methods and types of questions is important in math, assometimes questions have a certain method of answering and students might get an incorrect answer if they use any other method. This may cause them problems if they are not familiar with it. Students might get stuck while solving such questions, in the exam. So it is advisable to practise Maths questions regularly, especially NCERT exercise questions as these are suggested by the CBSE board and several other examination holders for the exam they conduct. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 help students find accurate solutions for Chapter 9 of Class 12.

Access NCERT Solution for Class 12 Maths Chapter 9- Differential Equations

NCERT has been used for teaching basic concepts of Maths and other subjects from the very beginning. NCERT is considered one of the best books to build a strong conceptual base for multiple subjects in preparation for the CBSE board examination. The NCERT textbook for Math is also one of the most highly recommended books for board exams.It has been used in schools for a long time, and it is most students’ priority to solve NCERT before doing sample papers or taking any practise tests. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4  prove to be of help to students while solving NCERT questions. To save time, students can use the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 to look for correct answers or easier methods to solve these problems. Solving NCERT will give them the perspective of understanding and answering the question in the right manner. Practising NCERT will give them the understanding to work on other problems from different books or to give tests to get an evaluation of their skills and to understand where they might be lacking in knowledge. They can strengthen their weak areas by redoing a question repeatedly and also by using the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4. Students must reach out for help if they find a question difficult or if they feel their answer might be wrong or take too long to solve. By doing this, they may utilise resources such as the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 that may provide them with a better solution.

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Exercise 9.4

The Chapter on Differential Equations include topics like

  • Order Of A Differential Equation
  • Degree Of A Differential Equation
  • General Solution And Particular Solution Of A Differential Equation
  • Formation Of  A Differential Equation Whose General Solution Is Given
  • Forming A Differential Equation That Will Represent A Family Of Curves
  • Solving First Order And First Degree Differential Equations
  • Homogeneous Differential Equations And Linear Differential Equations.

All these topics are included in the NCERT textbook. Students need to have an understanding of these concepts before they start to solve the problems given in NCERT. Students must know that the correct interpretation of questions before finding their answers is important. If students feel as if they are lacking in any part of their solution process, they must know to take help from their teachers and peers, as well as theNCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are based on solving  first order, first degree differential equations. NCERT has given three methods of solving the first- order-first degree differential equations. Differential Equations With Variable Separable, Homogeneous Differential Equations, and Linear Differential Equations are the three types of differential equations.There are examples given in NCERT to help understand the process of answering the question. Separate exercises are given in NCERT to allow students to fully comprehend each method of solving. The method of solving, where it is useful, and how to use it to make solutions easier.The NCERT Solutions for Class 12 Maths, Chapter 9, Exercise 9.4 will assist them in becoming acquainted with the Class 12 Chapter Differential Equations.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 focus on Differential Equations With Variable Separable.To interpret the kind of question, the method that should be used, and a solution with the correct answer, the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are made available. Practising these will help students revise the method and determine which types of questions it should be used for. Getting the correct answer is important, but finding a method that saves them time is also important.

Studying promptly for the Mathematics exam will increase students’ chances of getting into their preferred colleges. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will help them acquaint themselves with the Chapter Differential Equations of Class 12.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are based on solving Differential Equations With Variable Separable. To interpret the kind of question, the method that should be used and a solution with the correct answer, the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are made available. Practising these will help students revise the method and determine in which types of questions it should be used. Getting a correct answer is important but finding a method that saves them time is also important. An easier method will help students to save time when giving an entrance exam like JEE, VITEEE, BITSAT, etc. as these exams are time-bound and students do not get enough time to solve each question with a long method. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will help them find shorter methods of solving a question. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will help with multiple choice questions that are a part of entrance exams and also board exams.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are important to get a grip on the chapter of Differential Equations. There are more NCERT solutions for different chapters like Relations and Functions, Matrices, Determinants, Integrals, Continuity and Differentiation, Application of Derivatives and Applications of Integrals, Vectors, Linear Programming, Probability and Three Dimensional Geometry. Some of these chapters like Continuity and Differentiation, Applications of Derivations, Integrals, Applications of Integrals and Differential Equations are part of Calculus in Class 12. These can be difficult for students to understand as they are new. Regardless, it is critical to practise all these, as practise is necessary to do well on any exam. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 will help with any problems students face with any concepts they find difficult to understand by themselves.

Like NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4, Extramarks provides solutions for several other subjects classes on their website and app.

NCERT Solutions Class 12 can be accessed through the Extramarks website or app.

NCERT Solutions Class 11 can be accessed through the Extramarks website or app.

NCERT Solutions Class 10 can be accessed through the Extramarks website or app.

NCERT Solutions Class 9 can be accessed through the Extramarks website or app.

NCERT Solutions Class 8 can be accessed through the Extramarks website or app.

NCERT Solutions Class 7 can be accessed through the Extramarks website or app.

NCERT Solutions Class 6 can be accessed through the Extramarks website or app.

NCERT Solutions for Class 5 to Class 1 can also be accessed through the Extramarks website or app, just like the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4.

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4  is not the only solution sheet Extramarks provides. The Extramarks-provided solutions are made accessible for students only after they have been rechecked for any updates or for any mistakes they might contain. To ensure the credibility of resources such as the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4, it is ensured that the solutions provided are correct.These solutions are made available to students only to help them get better. These solutions are given by Extramarks experts and will help students obtain their desired scores. As can be seen in the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4,  the solutions provided are short and easy for students to understand who are studying the concepts for the first time.Extramarks also provides NCERT solutions for other classes and subjects as mentioned above. It also provides resources for preparation of exams like the Joint Entrance Examination (JEE), National Eligibility cum Entrance Test (NEET), Common University Entrance Test (CUET). Extramarks also provides guided tools for exams like SAT, PSAT, TOEFL. Extramarks also conducts mock tests and provides evaluations based on students’ performance. This may help them to understand their weak points and how to work on improving them. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are also designed to improve students’ performance in this specific chapter of the NCERT Maths book.

FAQs (Frequently Asked Questions)

1. How can NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 help students with their studies?

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are made for students who might not get the correct answer or who may not know how to solve the question. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 can assist students in finding an efficient way to answer the questions.The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 can help students find a way to answer the questions in a way that saves their time. The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 help by providing students with correct solutions and tips and tricks for solving the answer and saving time.

2. Where can students access the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4?

The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are available to students on the Extramarks website and app. Students can go to Extramarks’ website through the browser, or they can download the Extramarks app to their mobile devices. Students can access the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4, at their convenience.The NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 are available to students on the Extramarks website and app. Students can go to Extramarks’ website through the browser or students can download the Extramarks app on students mobile. Students can access the NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 anytime, at their convenience.

3. How can students understand all the concepts and score better in the Mathematics exam?

Many students ask their teachers, peers, alumni, and seniors about the best way of scoring in Mathematics. There is no cheat sheet when it comes to Maths or a trick that will help students instantly solve all the questions correctly. But some of the ways that might help students improve their performance are:

  • Students should practise as many questions as they can. Practising different types of questions will help them correctly interpret questions and find answers in the shortest amount of time possible.Therefore, students should practise as much as possible in math to strengthen their understanding.
  • Students should practise as many questions as they can. Practising different types of questions will help them interpret questions correctly and also in finding their answers in the least time possible. Therefore, students should practise as much as possible in Maths to strengthen their understanding.
  • Students should try to find out their strong and weak areas. Students need to know the concepts that they lack in as they are the ones that will affect their scores negatively. Knowing their strengths will help them in making a better academic schedule where they give more time to practising the things they are weak at and manage it with other subjects and chapters. Therefore, it is important for students to find out what their weaknesses are and to work hard on them to resolve them.
  • Students should solve past years’ papers. Solving past years’ papers will help students understand the way the exam is conducted and the topics that are asked frequently. They should analyse the paper to figure out the pattern of questions and repetitive question types. It will help them prepare for better scores in Maths. Therefore, it is important for students to find out what their weaknesses are and work hard to resolve them.Therefore, it is significant for students to solve past years’ papers.
  • Students should start from easy to difficult. It can be a struggle to study chapters like integrals, (which are completely new for someone in Class 12). However, beginning revision with simple concepts will help students gain confidence in their method of answering and will also aid in figuring out how to answer more difficult questions later.Therefore, students should answer the easier questions before moving on to the more difficult ones.
  • Students should start from easy to difficult. It can be a struggle to study chapters like Integrals (which are completely new for someone in Class 12). But starting revision from the easy-to-understand concepts will help students develop confidence in their method of answering and also help in figuring out how to solve more difficult questions later. Therefore, students should do easier questions before they move on to the more difficult ones.
  • Students must understand the concepts before they start solving questions. Maths is not a theoretical subject, but it is important to understand why and how the concept and the formulas are made, how they are implemented, and what their applications are. Without this, students will not be able to analyse the question properly. As a result, understanding the concepts is just as important as practising the questions on time.
  • Start preparing early. Students must try to learn and practise from the start of their term.
  • taking proper breaks. Students must give themselves enough rest. They must give themselves breaks during study time. Engaging in extracurricular activities like any sport can help students stimulate themselves and increase their productivity. It is not critical to only study for long hours; students should also look after their mental and physical health along with their academic excellence. They need to study productively for the time they have and keep themselves fit to increase their performance in exams and life.

 

  • Students must understand the concepts before they start solving questions. Maths is not a theoretical subject, but it is important to understand why and how the concept and the formulas are made, how they are implemented, and what their applications are. Without this, students will not be able to analyse the question properly. Hence, it is essential to understand the concepts just as much as it is to practice the questions timely.
  • Start preparing early. Students must try to learn and practice from the start of their term.
  • Taking proper breaks. Students must give themselves enough rest. They must give themselves break hours between study time. Engaging in extracurriculars like any sport can help students stimulate themselves and increase their productivity. It is not critical to only study for long hours, but students should also look after their mental health and physical health matters, along with academic excellence. They need to study productively for the time they can and keep themselves fit and increase their performance in exams and life.

 

These were some of the basic ways or tips for students to improve their academic performance and to study Maths efficiently.