NCERT Books for Class 12 Maths: Download PDF

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Jasmine Grover

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NCERT Books for Class 12 Maths are important for the preparation for Class 12 Maths Exam 2023-24. NCERT Class 12 Maths Books are provided in this article along with the NCERT Solutions for Class 12 Maths. The NCERT Class 12 Maths Syllabus is divided into two NCERT books that have 13 chapters in total.

  • NCERT Books for Class 12 Maths explains the concepts in a simple and easy-to-understand manner.
  • They lay the foundations of important concepts that are also helpful in competitive exams and Class 12 Board Exam
  • This article also includes chapter-wise important links from Class 12 Maths.
  • NCERT Class 12 Maths Book Part 1 includes Relation and Functions, Determinants, Application of Derivatives, etc while the NCERT Class 12 Maths Part 2 includes topics like Probability, Vector Algebra, etc.
  • NCERT Maths Books are created by subject experts and follow the CBSE Syllabus.

Related Links 


NCERT Books for Class 12 Maths – Download PDF

Students can download the NCERT Books for Class 12 Maths Part 1 and 2 through the links given below – 


NCERT Class 12 Maths Bools – Chapterwise PDF

The NCERT Class 12 Maths Books along with NCERT solutions can be found in the table below:

NCERT Class 12 Maths: Part-1

NCERT Class 12 Maths: Part-2


Class 12 Maths NCERT Hindi PDF


NCERT Class 12 Maths - Important Concepts

The important concepts covered in NCERT Books for Class 12 Maths are – 

Chapter 1: Relation and Function

In this chapter of Class 12 Maths NCERT Books, the basic concepts of relation between two or more different kinds of equations as well as types of relations

Additional Resources:

Relations and Functions Important Questions Types of Functions Onto Function
Difference between relation and function Equivalence Relation Modulus Function
Composition of Functions and Invertible Function Reflexive Relation Signum Function
Triviality Absolute value formula Inverse function formula
Bijective Function Binary Division Binary Multiplication
Real valued functions Polynomial Function Greatest Integer Function
Addition of Two Real Functions Function notation formula Product to Sum Formula

Chapter 2: Inverse Trigonometric Functions 

Basic trigonometric signs and functions are described in this chapter of NCERT Books for Class 12 Maths. This chapter deals with sine, cosine, tangent, and other core concepts of trigonometry. The important topics covered in the Inverse Trigonometric Functions are-

Additional Resources:

Graphs of Inverse Trigonometric Functions Inverse Tan Half Angle Formula
Circular Representation of Inverse Trigonometric Functions Inverse Trigonometric Formulas Arccot formula
Derivative of Inverse Trigonometric Functions Arctan formula Cos inverse formula
Properties of Inverse Trigonometric Functions Inverse cosine Inverse sine

Chapter 3: Matrices

Through this chapter in Class 12 Maths NCERT Book, the students will learn about the functions and types of matrices. The important concepts of the chapter are-

Additional Resources:

Diagonal matrix Scalar matrix Identity matrix
Column Matrix Row Matrix Matrix Multiplication
Orthogonal Matrix Singular Matrix Algebra of Matrices
Properties of matrices inverse Inverse Matrix Formula Properties of Transpose Matrix
Proof of the uniqueness of inverse, if it exists Order of Matrix Commutative Law

Chapter 4: Determinants

In this chapter, students will be introduced to the basic concepts of determinants, their properties, and their relationship with matrices. The important topics of Determinants include –

Additional Resources:

Properties of Determinants Area of a Triangle Determinant of a Matrix
Differentiation and Integration of Determinants Consistent system Difference between rows and columns
Consistent and inconsistent system of Equations Jacobian method Inverse laplace transform
Concept of elementary row and column operations Determinants and Matrices Applications of Determinants and Matrices

Chapter 5: Continuity and Differentiability

NCERT Books for Class 12 Maths Chapter 5 deals with the concept of the mean theorem as well as the concept of the limits. The important topics covered in the Continuity and Differentiability chapter are-

Additional Resources:

Logarithmic Differentiation Continuous Function Second Order Derivative
Exponential growth formula Slope of secant line formula Mean value theorem formula
Derivatives of function parametric form Continuity and discontinuity Differentiation rules
Implicit function differentiation Limits Infinity
Quotient Rule Limit Formula Non parametric test

Chapter 6: Application of Derivatives

The essential topics covered in the Application of Derivatives chapter are-

Additional Resources:

Derivatives Instantaneous rate of change formula Interpolation formula
Lagrange interpolation formula Linear approximation formula Linear interpolation formula
Linear regression formula Newtons method formula Differential calculus approximation

Chapter 7: Integrals

Integrals in Class 12 Maths NCERT Books deals with the functions of Integrals and the following concepts-

Additional Resources:

Methods of Integration Integration by Partial Fractions Integration by Parts
Fundamental Theorem of Calculus Integral Calculus Differentiation and Integration Formula
Calculus Formula Integral formulas Reduction formula
U substitution formula Antiderivative formula Integral calculus formula

Chapter 8: Application of Integrals

Some of the important topics covered in NCERT Books for Class 12 Maths Application of Integrals Chapter are-

Additional Resources:

Definite Integral Formula Trapezoidal rule formula Properties of definite integral

Chapter 9: Differential Equation

A differential equation can be described as equations with derivatives of a function. Hence, in this chapter of Class 12 Maths NCERT Books, the students will find different types of Differential Equations. Important topics covered in Differential Equation Chapter are-

Additional Resources:

First order linear differential equation Differential Equations Applications Partial derivative
Difference between parametric & nonparametric Differential equations formula Differential calculus
How to solve linear differential equation? Differential equation & its degree Linear Differential Equations

Chapter 10: Vectors

The Important topics covered in NCERT Books for Class 12 Maths Chapter 10 Vectors are-

Additional Resources:

Types of Vectors Position Vector Direction Cosines
Unit Vector Equal Vector Negative of a Vector
Properties of Scalar Product Laws of Vector Addition Vector Formula
Vector projection formula Scalar triple product of vectors Direction of a vector formula
Adjacency matrix Components of vector Cross product
Vector calculus Vector space Parallelepiped
Multiplication of vectors with scalar Multivariable calculus Properties of vector addition

Chapter 11: Three-Dimensional Geometry

Dimensional Geometry deals with the concepts of 2D and 3D concepts. The basic idea of the 3D concept is explained in this chapter of Class 12 Maths NCERT Books. Important topics covered in the Three-dimensional geometry Chapter are:

Additional Resources:

Angle between Two Planes Geometry Section formula 3 dimension
Distance between Two Points Equation Line Coordinates of a point in three dimensions

Chapter 12: Linear Programming

Graphical presentation of Linear Programming can be learned from this chapter of NCERT Books for Class 12 Maths. The important topics covered in Linear Programming Chapter are-


Chapter 13: Probability

Probability is all about how often something is going to happen. Therefore, in this chapter of Class 12 Maths NCERT Books, the conditions and theorems related to Probability are explained. The important topics covered in the Probability Chapter are-

Additional Resources:

Probability and statistics symbols Bayes Theorem Formula Conditional Probability Formula
Mean and variance of random variable Uniform distribution formula T distribution formula
Difference between mutually exclusive and independent events Event T distribution
Uniform distribution Bias Probability density function
Geometric distribution Exponential distribution Beta distribution
Coin toss probability formula Types of events Probability distribution
Multiplication Rule of Probability Sample space Theoretical Probability
Equally Likely Events Empirical Probability Complimentary Events
Elementary Event Sum of Probabilities Geometric Probability

Why Study NCERT Class 12 Maths?

  • NCERT Class 12 Maths books provide chapter-wise PDFs for CBSE Class 12.
  • These books aid in clarifying doubts and helping students score well in board exams.
  • They simplify complex topics, clear doubts, and help in revision.
  • Students gain in-depth knowledge about Class 12 Math concepts using these books.
  • The content aligns with the latest CBSE syllabus for Class 12 Maths 2023-24, making it valuable for exams.
  • Practising questions from these books enhances preparation for board exams.

Class 12 Mathematics Reference Books

Here are some of the best books for preparation for Class 12 Maths along with NCERT Books for Class 12 Maths:

  1. CBSE Examination Mathematics: 15 Sample Question Papers - Prem Kumar
  2. CBSE Chapter-wise Solutions: Mathematics-Hemant Malhotra
  3. Problems Plus In IIT Mathematics- A Das Gupta
  4. Solutions of Objective Mathematics with Chapter Tests- Dhanpat Rai
  5. Senior Secondary School Math 12- R. S. Aggarwal

Also Check:

CBSE CLASS XII Related Questions

  • 1.
    Find:

    If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

      • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
      • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
      • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
      • \(p = 0, \, q = 0\)

    • 2.

      Evaluate:
      \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


        • 3.
          Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


            • 4.
              Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                • 5.

                  Find:
                  Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

                    • \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
                    • \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
                    • \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
                    • \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)

                  • 6.
                    Which of the following equations is NOT a Linear Differential Equation?

                      • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                      • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                      • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                      • \(y \, dx - (x + 3y^2) \, dy = 0\)
                    CBSE CLASS XII Previous Year Papers

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