NCERT Solutions For Class 12 Maths 2022 (All Chapter Wise Exercises with Solutions)

NCERT Solutions For Class 12 Maths consists of error free solutions. It helps in having a precise and step by step answer to the questions mentioned in the NCERT Class 12 Mathematics Textbook. Using the maths solutions enable the learners to have a deep and better understanding of all the concepts prescribed in the mathematics book. It provides all the questions, formulas and important theorems in detail and to the point. 

Follow the below given tables to find out the class 12 maths NCERT solutions as per your requirement. It is free to download and can be accessed in PDF file.

Because everything is given very briefly so, it saves students time and energy to find out the correct step wise maths solutions. It is very helpful for standard XII students but that is not its limit. Any students who are keen to prepare for the National level competitions or entrance exams such as, JEE, BITSAT, VITEEE, etc, that are conducted every year can use the solutions that are provided here in chapter wise, term wise, exercise wise. 

These are provided by the Selfstudy’s mathematics experts. Hence, it is free and error free too. You can download all these NCERT Maths Solutions for class 12th from this page.

Class 12 Maths NCERT Solutions for Chapter Wise 

NCERT Solutions For Class 12 Maths Term Wise is available here. It is provided in term wise format because recently the CBSE Board has updated its curriculum and as per the new CBSE Class 12th Maths Syllabus the chapters will be divided into two parts. Half part, meaning 50% syllabus of the mathematics book will be used to assess the students in term 1 exam where 50% syllabus in term 2 exam. 

Therefore, to excel and get good marks in the board exams students will have to prepare for the exams accordingly. For that reason, the NCERT Solutions For Class 12 Maths Term Wise for all the chapters are given here. It consists of problems and its detailed solutions to give students immersive and smooth learning experiences. 

NCERT Solutions Class 12 Maths Chapter Wise
Chapter 1 Relations and Functions Chapter 2 Inverse Trigonometric Functions
Chapter 3 Matrices Chapter 4 Determinants
Chapter 5 Continuity and Differentiability Chapter 6 Applications of Derivatives
Chapter 7 Integrals Chapter 8 Applications of Integrals
Chapter 9 Differential Equations Chapter 10 Vector Algebra
Chapter 11 Three dimensional Geometry Chapter 12 Linear Programming
Chapter 13 Probability

NCERT Solutions For Class 12 Maths Term 1 (Chapter Wise)

NCERT Solutions For Class 12 Maths Term 1 Chapter Wise includes the chapters 1 to 6. These are the following chapters of CBSE Mathematics term 1, Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Applications of Derivatives all of these are essential to get good marks in the Term first exam of mathematics. Class 12 Maths Solutions for these chapters can be downloaded from the below given table and its links.

Chapter 1 Relations and Functions – Term I

The first chapter of NCERT Class 12th maths is relations and functions. It teaches the students about types of relation, types of functions, the composition of functions and invertible function, binary operations along with the miscellaneous examples. Here, you can find the links for the topics covered in this chapter.

The topics that are covered in the first chapters of mathematics for the first term exam are reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

NCERT Solutions Class 12 Maths Chapter 1 Exercises

Other study materials For Chapter 1

NCERT & Other study materials For Chapter 1 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 1.

  1. Online MCQ Test Chapter 1
  2. MCQs PDF Chapter 1
  3. NCERT Books For Chapter 1
  4. NCERT Exemplar Solutions For Chapter 1
  5. NCERT Exemplar Books For Chapter 1
  6. Revision Notes For Chapter 1
  7. RD Sharma Solutions For Chapter 1 (Relations & Functions)
  8. RS Aggarwal Solutions For Chapter 1 (Relations & Functions)
  9. HOTS Questions For Chapter 1

Chapter 2 Inverse Trigonometric Functions – Term I

Inverse trigonometry can be simply defined as the inverse functions of basic trigonometry functions. It is used to measure the angles of any trigonometry ratio. This is the chapter which will be used to examine the students mathematical knowledge on the basis of finding angles. 

Every single concept of this chapter has been explained in very simple yet extremely detailed. The solutions for this chapter 2 Inverse trigonometry Functions  are given here to download for free in PDF.

NCERT Solutions Class 12 Maths Chapter 2 Inverse Trigonometric Functions

Other study materials For Chapter 2

NCERT & Other study materials For Chapter 2 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 2.

  1. Online MCQ Test Chapter 2
  2. MCQs PDF Chapter 2
  3. NCERT Books For Chapter 2
  4. NCERT Exemplar Solutions For Chapter 2
  5. NCERT Exemplar Books For Chapter 2
  6. Revision Notes For Chapter 2
  7. RD Sharma Solutions For Chapter 2
  8. RS Aggarwal Solutions For Chapter 2
  9. HOTS Questions For Chapter 2

Chapter 3 Matrices – Term I

Class 12th mathematics chapter 3 Matrices is one of the most important chapters for class 12th board exams. It is very simple and interesting to study. It is related to the calculations of matrices in the form of addition, subtractions, multiplications, etc. This chapter requires a very focused mind, in order to solve questions you will need to read them thoroughly and then give special attention while solving the questions. 

However the solutions of matrices that we are giving here are very easy to understand, it will ease your process to comprehend the complex calculations.

NCERT Solutions Class 12 Maths Chapter 3 Matrices

Other study materials For Chapter 3

NCERT & Other study materials For Chapter 3 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 3.

  1. Online MCQ Test Chapter 3
  2. MCQs PDF Chapter 3
  3. NCERT Books For Chapter 3
  4. NCERT Exemplar Solutions For Chapter 3
  5. NCERT Exemplar Books For Chapter 3
  6. Revision Notes For Chapter 3
  7. RD Sharma Solutions For Chapter 3
  8. RS Aggarwal Solutions For Chapter 3
  9. HOTS Questions For Chapter 3

Chapter 4 Determinants – Term I

NCERT Class 12th Math chapter Determinants solutions aids in solving the questions of this chapter. It is a scalar value that is a function of the square matrix. You will get to know about the definitions and meaning of determinants, its properties, application of determinants, etc.

The Solutions that we are providing here for the Determinants are extremely helpful to solve the questions mentioned in the NCERT Books.

Other study materials For Chapter 4

NCERT & Other study materials For Chapter 4 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 4.

  1. Online MCQ Test Chapter 4
  2. MCQs PDF Chapter 4
  3. NCERT Books For Chapter 4
  4. NCERT Exemplar Solutions For Chapter 4
  5. NCERT Exemplar Books For Chapter 4
  6. Revision Notes For Chapter 4
  7. RD Sharma Solutions For Chapter 
  8. RS Aggarwal Solutions For Chapter 4
  9. HOTS Questions For Chapter 4

Chapter 5 Continuity and Differentiability – Term I

Chapter 5 of NCERT Maths Textbooks starts with the introduction of chapter and the definition of continuity and differentiability. This chapter is the continuous study of differentiation of function which was in class XI. In this chapter students get to know about algebra of continuous function, definition and meaning of differentiability, derivatives of composite functions, derivative of implicit functions, derivative of inverse trigonometric functions, exponential and logarithmic functions, etc.

It has a few concepts that are very difficult to solve but our ncert solutions for class 12 maths chapter 5 can help you to solve them very easily. 

NCERT Solutions Class 12 Maths Chapter 5 Continuity and Differentiability

Other study materials For Chapter 5

NCERT & Other study materials For Chapter 5 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 5.

  1. Online MCQ Test Chapter 5
  2. MCQs PDF Chapter 5
  3. NCERT Books For Chapter 5
  4. NCERT Exemplar Solutions For Chapter 5
  5. NCERT Exemplar Books For Chapter 5
  6. Revision Notes For Chapter 5
  7. RD Sharma Solutions For Chapter 5 (Continuity & Differentiability)
  8. RS Aggarwal Solutions For Chapter 5
  9. HOTS Questions For Chapter 5

Chapter 6 Applications of Derivatives – Term I

Chapter 6 Application of Derivatives introduces the learners about Finding Rate of Change of a Quantity, Finding the Approximation Value, Finding the equation of a Tangent and Normal To a Curve, Finding Maxima and Minima, and Point of Inflection, Determining Increasing and Decreasing Functions, etc. In order to be well versed with these topics students need to solve their questions. A few of them can be easily solved, but a few can be a little challenging to answer. 

Therefore, the NCERT Solutions for Chapter 6 is available here that will aid in answering those questions properly.

NCERT Solutions Class 12 Maths Chapter 6 Application of Derivatives

Other study materials For Chapter 6

NCERT & Other study materials For Chapter 6 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 6.

  1. Online MCQ Test Chapter 6
  2. MCQs PDF Chapter 6
  3. NCERT Books For Chapter 6
  4. NCERT Exemplar Solutions For Chapter 6
  5. NCERT Exemplar Books For Chapter 6
  6. Revision Notes For Chapter 6
  7. RD Sharma Solutions For Chapter 6
  8. RS Aggarwal Solutions For Chapter 6
  9. HOTS Questions For Chapter 6

NCERT Solutions For Class 12 Maths Term 2 (Chapter Wise)

NCERT Solutions For Class 12 Maths Term 2 Chapter Wise consists of Integrals, Application of Integrals, Differential Equations, Vector Algebra, 3D (Three Dimensional Geometry), Linear Programming, Probability. These chapters will be used to assess the students in CBSE Class 12 Term 2 Maths exam. Term 2 will have the questions in which students will have to solve the questions manually. It will be short and long answer types questions. 

Therefore, to score good marks in CBSE Maths term 2 board exam candidates need to give intense practice to all the questions available in NCERT Class 12th Maths Textbooks from Chapter 7 to 13. For the ease in practicing the questions we have provided the NCERT Solutions Class 12 Mathematics for term 2 in chapter wise format.

Chapter 7 Integrals – Term II

Chapter 7 Integrals is a topics of calculus where can see the definition of indefinite integral, integration as an inverse process of differentiation, geometrical interpretation of indefinite integral, properties of indefinite integral, comparison between differentiation and integration, methods of integration such as integration by substitution, integration using partial fractions, integration by parts, integration using trigonometric identities, etc. 

We have provided the solutions of integrals for all the questions available in the mathematics book of class 12. 

Other study materials For Chapter 7

  1. Online MCQ Test Chapter 7
  2. MCQs PDF Chapter 7
  3. NCERT Books For Chapter 7
  4. NCERT Exemplar Solutions For Chapter 7
  5. NCERT Exemplar Books For Chapter 7
  6. Revision Notes For Chapter 7
  7. RD Sharma Solutions For Chapter 7 (Indefinite & Definite)
  8. RS Aggarwal Solutions For Chapter 7 (Indefinite & Definite)
  9. HOTS Questions For Chapter 7

Chapter 8 Applications of Integrals – Term II

Chapter 8 of NCERT Class 8 maths textbook is Applications of Integrals. This chapter aids in knowing how to calculate the areas under simple curves, the area between lines, parabolas, etc. It can also be used to calculate the area of an enclosed figure. However, in order to do the above given things, you have to know the Application of Integrals. To do so, practicing the questions is ideal. Also, it plays a crucial role in class 12th mathematics so solve these questions as much as possible. 

For your conveniences here we have given the download links of Application of Integrals class 12 ncert solutions. 

NCERT Solutions Class 12 Maths Chapter 8 Application of Integrals

Other study materials For Chapter 8

NCERT & Other study materials For Chapter 8 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 8.

  1. Online MCQ Test Chapter 8
  2. MCQs PDF Chapter 8
  3. NCERT Books For Chapter 8
  4. NCERT Exemplar Solutions For Chapter 8
  5. NCERT Exemplar Books For Chapter 8
  6. Revision Notes For Chapter 8
  7. RD Sharma Solutions For Chapter 8
  8. RS Aggarwal Solutions For Chapter 8
  9. HOTS Questions For Chapter 8

Chapter 9 Differential Equations – Term II

Chapter 9 Differential Equations is a mathematical equation that relates to one or more functions and their derivatives. Differential equations are considered special because the solution of a differential equation is itself a function instead of a number. In this chapter you will be able to study about the basic concepts related to differential equations, degree of a differential equation, order of a differential equation, and many more. 

The solutions for this chapter have been given here to help you out while getting stuck at any question of differential equations.

NCERT Solutions Class 12 Maths Chapter 9 Differential Equations

Other study materials For Chapter 9

NCERT & Other study materials For Chapter 9 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 9.

  1. Online MCQ Test Chapter 9
  2. MCQs PDF Chapter 9
  3. NCERT Books For Chapter 9
  4. NCERT Exemplar Solutions For Chapter 9
  5. NCERT Exemplar Books For Chapter 9
  6. Revision Notes For Chapter 9
  7. RD Sharma Solutions For Chapter 9
  8. RS Aggarwal Solutions For Chapter 9
  9. HOTS Questions For Chapter 9

Chapter 10 Vector Algebra – Term II

Vector Algebra is the 10th chapter of NCERT Class 12th Mathematics textbook. This chapter introduces the students about the algebra of vector quantities. It is an essential topic of mathematics, it also impacts the study of Physics. So students must focus on this chapter and solve their questions to get a good grasp on this topic. 

The given solutions will acquaint you with this topic in detail with solutions.

NCERT Solutions Class 12 Maths Chapter 10 Vector Algebra

Other study materials For Chapter 10

NCERT & Other study materials For Chapter 10 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 10.

  1. Online MCQ Test Chapter 10
  2. MCQs PDF Chapter 10
  3. NCERT Books For Chapter 10
  4. NCERT Exemplar Solutions For Chapter 10
  5. NCERT Exemplar Books For Chapter 10
  6. Revision Notes For Chapter 10
  7. RD Sharma Solutions For Chapter 10
  8. RS Aggarwal Solutions For Chapter 10
  9. HOTS Questions For Chapter 10

Chapter 11 Three Dimensional Geometry (3D) – Term I

Chapter 11 Three Dimensional Geometry help the students to study the direction cosines and direction ratios of a line joining two points and also discuss about the equations of lines and places in space under different conditions, angle between two lines, two planes, a line and a plane, shortest distance between two skew lines and distance of a point from a plane, etc. 

3D has various applications or implementations in the real world and the field of mathematics. Therefore, we have given the NCERT Solutions for 3D. It has a very precise or to the point answer. All are explained in detail.

NCERT Solutions Class 12 Maths Chapter 11 Three Dimensional Geometry

Other study materials For Chapter 11

NCERT & Other study materials For Chapter 11 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 11.

  1. Online MCQ Test Chapter 11
  2. MCQs PDF Chapter 11
  3. NCERT Books For Chapter 11
  4. NCERT Exemplar Solutions For Chapter 11
  5. NCERT Exemplar Books For Chapter 11
  6. Revision Notes For Chapter 11
  7. RD Sharma Solutions For Chapter 11
  8. RS Aggarwal Solutions For Chapter 11
  9. HOTS Questions For Chapter 11

Chapter 12 Linear Programming – Term I

In this chapter students get to know about Linear programming. Linear Programming also known as L.P is the simplest way to solve complex optimizations in a simple manner. The complex relationship can be depicted through linear programming, and chapter 12 is all about these things. It helps you to understand how to simplify the relationship in simple terms. 

Here on this website we have given the Linear Programming Solutions for all exercises. It is errorless and available for free of cost. 

NCERT Solutions Class 12 Maths Chapter 12 Linear Programming

Other study materials For Chapter 12

NCERT & Other study materials For Chapter 12 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 12.

  1. Online MCQ Test Chapter 12
  2. MCQs PDF Chapter 12
  3. NCERT Books For Chapter 12
  4. NCERT Exemplar Solutions For Chapter 12
  5. NCERT Exemplar Books For Chapter 12
  6. Revision Notes For Chapter 12
  7. RD Sharma Solutions For Chapter 12
  8. RS Aggarwal Solutions For Chapter 12
  9. HOTS Questions For Chapter 12

Chapter 13 Probability – Term II

Probability chapter of class 12th is a little advancement of class 11th probability chapter. In this chapter you will be using the information you have acquired in class 11th such as conditional probability, properties of conditional probability, multiplication theorem on probability, multiplication rule of probability for more than two events, independent events, Baye’s theorem, etc. 

We have compiled here the solutions to exercises from the Probability chapter, which have explained the concept thoroughly.

NCERT Solutions Class 12 Maths Chapter 13 Probability

Other study materials For Chapter 13

NCERT & Other study materials For Chapter 13 are given here. There are various study resources for students that can help them to grasp the knowledge of chapter 13.

  1. Online MCQ Test Chapter 13
  2. MCQs PDF Chapter 13
  3. NCERT Books For Chapter 13
  4. NCERT Exemplar Solutions For Chapter 13
  5. NCERT Exemplar Books For Chapter 13
  6. Revision Notes For Chapter 13
  7. RD Sharma Solutions For Chapter 13
  8. RS Aggarwal Solutions For Chapter 13
  9. HOTS Questions For Chapter 13

NCERT Solutions

We hope you have learned something from the provided solutions. You can download NCERT Solutions here by clicking on the given links. These solutions are free of cost.

NCERT Exemplar Class 12 Maths Solutions

NCERT Exemplar Class 12 Maths Solutions is a bit advanced in terms of questions level. Each chapter of class 12th mathematics exemplar consists of questions that challenge student’s learning of maths. Exemplar questions are developed keeping in mind the syllabus, it also enables candidates to practice more questions so that they can easily crack the board exams and competition level of exams.

NCERT Class 12th maths contains equal number of chapters as available in the NCERT Exampler Class 12 Maths textbooks. However, with the help of exemplar learners can have access to the quality problems. Those problems not only help in boosting the scores but make students more creative and analytical thinkers.

Unit wise weightage of CBSE Class 12 

CBSE Class 12th Mathematics has a total of 13 chapters out of which 7 chapters for term 1 exam and 8 chapters for term 2 exam. A good understanding in these chapters are important but knowing about their weightage is also crucial. Therefore, here we have provided the unit wise weightage for both the term examination. Go through the table to understand the marks weightage of each chapter of mathematics.

Unit wise weightage of CBSE Class 12 First Term

In term 1 exam questions were asked from 7 chapters all those chapters were taken from 5 units. Below you can check their unit names and marks weightage of those units.

Unit Unit Name Marks
1 Relations and Functions 08
2 Algebra 10
3 Calculus 17
5 Linear Programming 05
  Total 40
  Internal Assessment Marks 10
  Total Marks 50

Unit wise weightage of CBSE Class 12 Second Term

Calculus, Vectors, 3D, and Probability are the three units for term 2 exams. Questions in the 2nd term examination of CBSE Class 12th will be asked from these units. You can be thorough with their marks weightage from the below given table.

Unit Unit Name Marks
3 Calculus 18
4 Vectors and Three-Dimensional Geometry 14
6 Probability 08
  Total 40
  Internal Assessment Marks 10
  Total Marks 50

FAQ. On NCERT Solutions For Class 12 Maths

There are a total of 13 Chapters in NCERT Solutions For Class 12 Maths. Both problems and their detailed solutions are provided in the Selfstudys NCERT Solutions for class 12th.

Getting a good score or high score in class 12th board exams are crucial for the students, because it plays an essential role to the students future career. Therefore, Solving NCERT Solutions for class 12 maths regularly is important. The solutions make sure that there is no doubt left to the students.

You can download the NCERT Solutions for class 12 maths from the Selfstudys website. These solutions are prepared by subject matter experts that ensure to give you a complete knowledge about the chapters and topics that are mentioned in the NCERT Class 12th Mathematics books. The solutions are available for free to download.

We are providing something unique, useful and most importantly fun. By giving students a tool to find instant solutions to their doubts, we’re trying to make every student self-sufficient in practicing & completing their homework

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