# NCERT Solutions For Class 12 Maths

NCERT Solutions For Class 12 Maths Free PDF is one of the best methods to prepare maths for 12th standard along with various engineering entrance exams like JEE. The class 12 NCERT maths solutions are provided here to help students prepare for the subject more effectively.

Class 12 maths NCERT solutions are prepared by expert teachers accordance to the latest curriculum. Practicing the NCERT class 12 maths solutions will help students to develop their accuracy and will also boost their confidence.

NCERT Solutions For Class 12 Maths

NCERT Solutions For Class 12 Maths Free PDF Students can easily find out answers to any question here which is mentioned in the textbook chapters-wise. These questions and answers are in accordance with the CBSE board syllabus pattern 2022 only. The teachers have been well-prepared and concepts are available here in Maths subject. All the chapters Class 12 Maths provided here, students can download them and learn as well to read.

Get the NCERT Solutions For Class 12 Maths Free PDF from the link given below.

These materials are prepared by our expertise keeping on mind students learning the level.NCERT solutions for class 12 maths. So students need not worry about the given content for the solutions. They have well prepared and structured solutions available here, by us.

The Class 12 Maths NCERT Solutions to NCERT textbook for class 12 Maths are given by the expert teachers who have done immense research on the topics.

The NCERT Maths syllabus is prescribed by the CBSE and the information provided by the experts in the Class 12 Maths solutions is genuine to help students prepare well for exams. It covers solutions for all the chapters prescribed in the NCERT Maths textbook:

Some of the top features of My NCERT which makes it one of the most preferred resources of the students are:

• The detailed step by step solutions are prepared by experts and any student can easily understand the steps completely
• Formulas and laws are mentioned in between steps which can help students to recall them instantly

Class 12 Maths Chapter 1 Relations and Functions
The chapter builds up on the types of relations and functions,the composition of functions, domain, co-domain, and composite functions, the inverse of a function and invertible function etc.important chapter which provides detail knowledge of relation and functions.The students explore several real valued functions, and their graphs. The chapter comprises of four exercises that consolidate the concepts explained in the chapter.

Class 12 Maths NCERT Solutions Chapter 1 Exercise PDFs
• Class 12 Maths Chapter 1 Exercise 1.1
• Class 12 Maths Chapter 1 Exercise 1.2
• Class 12 Maths Chapter 1 Exercise 1.3
• Class 12 Maths Chapter 1 Exercise 1.4
• Class 12 Maths Chapter 1 Miscellaneous Exercise

Class 12 Maths Chapter 2 Inverse Trigonometric Functions
The various topics such as concepts of inverse trigonometric functions,inverse trigonometric functions properties, and miscellaneous examples.This chapter explores the inverse trigonometric through two exercises that teach the students the behavior of the functions, their graphical representations, and the elementary properties. These prove to be of more value in integration later.

Class 12 Maths NCERT Solutions Chapter 2 Exercise PDFs
• Class 12 Maths Chapter 2 Exercise 2.1
• Class 12 Maths Chapter 2 Exercise 2.2
• Class 12 Maths Chapter 2 Miscellaneous Exercise

Class 12 Maths Chapter 3 Matrix
This chapter takes you through the definition of Matrices, various types of matrices, equality of matrices, operations on matrices such as the addition of matrices and multiplication of matrices by a scalar, properties of matrices addition, properties of scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of matrices, properties of the transpose of the matrices, symmetric and elementary operation or transformation of a matrix.

Class 12 Maths NCERT Solutions Chapter 3 Exercise PDFs
• Class 12 Maths Chapter 3 Exercise 3.1
• Class 12 Maths Chapter 3 Exercise 3.2
• Class 12 Maths Chapter 3 Exercise 3.3
• Class 12 Maths Chapter 3 Exercise 3.4
• Class 12 Maths Chapter 3 Miscellaneous Exercise

Class 12 Maths Chapter 4 Determinants
The chapter deals with determinants of orders upto 3, and their cofactors and inverses.This chapter also talks about the applications of determinants, like calculation of area of triangles, adjoint of matrices, consistency of a set of linear equations.

Class 12 Maths NCERT Solutions Chapter 4 Exercise PDFs
• Class 12 Maths Chapter 4 Exercise 4.1
• Class 12 Maths Chapter 4 Exercise 4.2
• Class 12 Maths Chapter 4 Exercise 4.3
• Class 12 Maths Chapter 4 Exercise 4.4
• Class 12 Maths Chapter 4 Exercise 4.5
• Class 12 Maths Chapter 4 Exercise 4.6
• Class 12 Maths Chapter 4 Miscellaneous Exercise

Class 12 Maths Chapter 5 Continuity and Differentiability
The chapter explores the important concepts of Continuity, Differentiability and establishes the relationship between them. It also deals with the continuity and differentiability of Inverse Trigonometric Functions.you proceed with derivative of implicit functions, derivatives of composite functions, derivative of inverse trigonometric functions, logarithmic differentiation, Concept of exponential and logarithmic functions, derivatives of functions in parametric forms, exponential and logarithmic functions, second order derivatives, mean value theorem with many miscellaneous examples.

Class 12 Maths NCERT Solutions Chapter 5 Exercise PDFs
• Class 12 Maths Chapter 5 Exercise 5.1
• Class 12 Maths Chapter 5 Exercise 5.2
• Class 12 Maths Chapter 5 Exercise 5.3
• Class 12 Maths Chapter 5 Exercise 5.4
• Class 12 Maths Chapter 5 Exercise 5.5
• Class 12 Maths Chapter 5 Exercise 5.6
• Class 12 Maths Chapter 5 Exercise 5.7
• Class 12 Maths Chapter 5 Exercise 5.8
• Class 12 Maths Chapter 5 Miscellaneous Exercise

Class 12 Maths Chapter 6 Application of Derivatives
This chapter deals with the differentiability of functions, and introduction to derivatives. It delves into the derivatives of specific functions, and their applications, namely the tangents and normal to curves, and the rate of change in some quantities. It also talks about increasing and decreasing functions.All the solutions are based on the latest 12th Class Maths Book Solution.

Class 12 Maths NCERT Solutions Chapter 6 Exercise PDFs
• Class 12 Maths Chapter 6 Exercise 6.1
• Class 12 Maths Chapter 6 Exercise 6.2
• Class 12 Maths Chapter 6 Exercise 6.3
• Class 12 Maths Chapter 6 Exercise 6.4
• Class 12 Maths Chapter 6 Exercise 6.5
• Class 12 Maths Chapter 6 Miscellaneous Exercise

Class 12 Maths Chapter 7 Integrals
This chapter deals with integration of functions, and its applications in terms of calculation of areas. This marks the introduction to Integral Calculus. inverse process of differentiation, geometrical interpretation of indefinite integral, comparison between differentiation and integration, properties of indefinite integral.

Class 12 Maths NCERT Solutions Chapter 7 Exercise PDFs
• Class 12 Maths Chapter 7 Exercise 7.1
• Class 12 Maths Chapter 7 Exercise 7.2
• Class 12 Maths Chapter 7 Exercise 7.3
• Class 12 Maths Chapter 7 Exercise 7.4
• Class 12 Maths Chapter 7 Exercise 7.5
• Class 12 Maths Chapter 7 Exercise 7.6
• Class 12 Maths Chapter 7 Exercise 7.7
• Class 12 Maths Chapter 7 Exercise 7.8
• Class 12 Maths Chapter 7 Exercise 7.9
• Class 12 Maths Chapter 7 Exercise 7.10
• Class 12 Maths Chapter 7 Exercise 7.11
• Class 12 Maths Chapter 7 Miscellaneous Exercise

Class 12 Maths Chapter 8 Application of Integrals
This chapter deals with the applications of integrals in calculating areas under simple curve, lines, parabolas and ellipses.All solutions are based on 12 Class Maths Book Solution.

Class 12 Maths NCERT Solutions Chapter 8 Exercise PDFs
• Class 12 Maths Chapter 8 Exercise 8.1
• Class 12 Maths Chapter 8 Exercise 8.2
• Class 12 Maths Chapter 8 Miscellaneous Exercise

Class 12 Maths Chapter 9 Differential Equations
Introduces the concept of Differential equations, the general and particular solutions, and the order and degree of an equation. homogeneous differential equations, linear differential equations, procedure involved formation of a differential equation etc.Chapter 9 is an important topic which needs to be well practised.

Class 12 Maths NCERT Solutions Chapter 9 Exercise PDFs
• Class 12 Maths Chapter 9 Exercise 9.1
• Class 12 Maths Chapter 9 Exercise 9.2
• Class 12 Maths Chapter 9 Exercise 9.3
• Class 12 Maths Chapter 9 Exercise 9.4
• Class 12 Maths Chapter 9 Exercise 9.5
• Class 12 Maths Chapter 9 Exercise 9.6
• Class 12 Maths Chapter 9 Miscellaneous Exercise

Class 12 Maths Chapter 10 Vector Equations
The vector quantities, that is, the quantities with both magnitude and direction. The Vector algebra summarises the rules of addition of vector quantities, and other important properties. You can also learn about algebraic as well as geometric properties,r,vector joining two points,components of a vector,section formula, product of two vector etc.

Class 12 Maths NCERT Solutions Chapter 10 Exercise PDFs
• Class 12 Maths Chapter 10 Exercise 10.1
• Class 12 Maths Chapter 10 Exercise 10.2
• Class 12 Maths Chapter 10 Exercise 10.3
• Class 12 Maths Chapter 10 Exercise 10.4
• Class 12 Maths Chapter 10 Miscellaneous Exercise

Class 12 Maths Chapter 11 Three Dimensional Geometry
This chapter utilises vectors to calculate the distance between lines,direction cosines and direction ratios of line, equation of a line, a point and a line,a plane, along with the angles between them.

Class 12 Maths NCERT Solutions Chapter 11 Exercise PDFs
• Class 12 Maths Chapter 11 Exercise 11.1
• Class 12 Maths Chapter 11 Exercise 11.2
• Class 12 Maths Chapter 11 Exercise 11.3
• Class 12 Maths Chapter 11 Miscellaneous Exercise

Class 12 Maths Chapter 12 Linear Programming
This chapter explores the concept of linear programming problems, and their solutions using graphical method only. mathematical formulation, the mathematical formulation of the problem, different types of all linear programming problems,feasible and infeasible solutions.

Class 12 Maths NCERT Solutions Chapter 12 Exercise PDFs
• Class 12 Maths Chapter 12 Exercise 12.1
• Class 12 Maths Chapter 12 Exercise 12.2
• Class 12 Maths Chapter 12 Miscellaneous Exercise

Class 12 Maths Probability
The concept of Conditional Probability and the encounters of the same in our daily lives. here the concept of random variables and its probability in this chapter. Other than this chapter also covers mean of random variable, variance of random variable, and binomial distribution and Bernoulli trials.

Class 12 Maths NCERT Solutions Chapter 13 Exercise PDFs
• Class 12 Maths Chapter 13 Exercise 13.1
• Class 12 Maths Chapter 13 Exercise 13.2
• Class 12 Maths Chapter 13 Exercise 13.3
• Class 12 Maths Chapter 13 Exercise 13.4
• Class 12 Maths Chapter 13 Exercise 13.5
• Class 12 Maths Chapter 13 Miscellaneous Exercise

## Frequently Asked Questions(FAQ’s) on NCERT Solutions Class 12 Physics

### 1.What are the chapters is important in class 12th Maths?

1.Relations and Functions
2.Types of relations
3.Inverse Trigonometric Functions
4.Matrices
5.Determinants
6.Application of Derivatives
7.Integrals
8.Application of Integrals

### 2.Which is better books for reference class 12 maths?

To find the solutions to all the exercises that have been given by experts.The reference books For Class 12 maths for Senior secondary school maths Class 12 Author was R S Aggarwal.

### 3.Is this Benefits of Class 12th Maths NCERT Solutions for Students?

CBSE Class 12th Maths NCERT Solutions for Students an insight into how to give a step-by-step detailed problem solution while attempting a prepared the written examination.To getting higher marks and higher studies.