Overview of NCERT Class 12 Maths Book
NCERT Books for Class 12 Maths are given here for you to study and prepare for your board exams. Class 12 is a turning point for every student’s life, and according to this, they choose their higher studies and career. The subjects that you study in Class 12 are also important for your career choice or the professional course you take up. That’s why all the subjects and each chapter are equally important for you.
Structure of the NCERT Class 12 Maths Book
| Class 12 Mathematics Part 1 |
| Chapter 1 – Relations and Functions |
| Chapter 2 – Inverse Trigonometric Functions |
| Chapter 3 – Matrices |
| Chapter 4 – Determinants |
| Chapter 5 – Continuity and Differentiability |
| Chapter 6 – Application of Derivatives |
| Class 12 Mathematics Part 2 |
| Chapter 7 – Integrals |
| Chapter 8 – Application of Integrals |
| Chapter 9 – Differential Equations |
| Chapter 10 – Vector Algebra |
| Chapter 11 – Linear Programming |
| Chapter 12 –Probability |
NCERT Class 12 Maths Book – Part 1
Chapter 1: Relations and Functions
In this Chapter 1 Relations and Functions of NCERT Class 12 Maths you will learn about types of relations and functions. Throughout this chapter, You will develop a strong foundation of relations and functions, which are important for understanding various mathematical concepts.
Topics Covered in Class 12 Maths Chapter 1 Relations and Functions.
1. Types of Relations
- Symmetric
- Reflexive
- Transitive
- Equivalence.
2. Types of Functions
- One to one functions
- Onto functions
- Composite functions
- Invertible functions.
3. Binary Operations.
Chapter 2: Inverse Trigonometric Functions
In this chapter, you will learn about the inverse trigonometric functions, including their domain, range, and principal values. You will also practice finding the inverse trigonometric functions of various values and solving equations involving inverse trigonometric functions.
Chapter 3: Matrices
NCERT Maths Class 12 Chapter 3 Solutions, “Matrices,” is focus on the concept of Matrix and their properties.
In exercise 1 introduces types of matrices and covers basic operations like addition, subtraction, and multiplication.
Another exercise explores matrix properties like commutative, associative, and identity matrix use. It focuses on matrix multiplication, its properties, and practicing inverse calculations.
In the last exercise teaches and applies the concept of matrix transpose and its properties.
Chapter 4: Determinants
In Chapter 4 of Class 12 Maths, You will study how to find the determinant of a matrix. This includes understanding the determinant of a matrix of order one, which is relatively easy to understand. This chapter also covers the determination of the matrix of order two and order three. Further in this chapter you will learn how to expand the determinant along the row or column containing the maximum number of zeros.
Chapter 5: Continuity and Differentiability
The topics and subtopics covered in continuity and differentiability class 12 are:
- Introduction
- Continuity
- Algebra of a continuous function
- Differentiability
- Derivatives of composite functions
- Derivatives of implicit functions
- Derivatives of inverse trigonometric functions
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Second-Order Derivative
- Mean Value Theorem
Chapter 6: Application of Derivatives
The topic and subtopics covered in applications of derivatives class 12 chapter 6 are:
- Introduction
- Rate of Change of Quantities
- Increasing and Decreasing Functions
- Tangents and Normals
- Approximations
- Maxima and Minima
- Maximum and Minimum Values of a Function in a Closed Interval
NCERT Class 12 Maths Book – Part 2
Chapter 7: Integrals
The topics and subtopics covered under integrals class 12 Maths are:
- Introduction
- Integration as an inverse process of differentiation
- Geometrical interpretation of indefinite integral
- Some properties of indefinite integrals
- Comparison between differentiation and integration
- Methods of integration
- Integration by substitution
- Integration using trigonometric identities
- Integrals for some particular functions
- Integration by partial fractions
- Integration by parts
- Integral of the type
- Integrals for some more types
- Definite integral
- Definite integral as a limit of a sum
- The fundamental theorem of calculus
- Area function
- The first fundamental theorem of integral calculus
- The second fundamental theorem of integral calculus
- Evaluation 0f definite integrals by substitution
- Some properties of definite integrals
Chapter 8: Application of Integrals
Class 12 maths chapter 8 uses this concept to give you an easy method of calculating the area under curves. The area under the curve can be thought of as being composed of a large number of very thin vertical stripes. By the method of integrating this region between some specific limits we can now determine the complete area required.
Chapter 9: Differential Equations
- Introduction
- Basic Concepts
- General and Particular Solutions of a Differential Equation
- Formation of a Differential Equation whose General Solution is given
- Methods of Solving First order, First Degree Differential Equations
Chapter 10: Vector Algebra
NCERT class 12 maths chapter 10 vector algebra explains a very important concept that is used in both mathematics and physics known as vectors.
Chapter 11: Linear Programming
- In business and daily life, linear programming is a popular optimization (maximization or minimization) technique that determines the maximum or minimum values required of a linear expression to satisfy a set of given linear constraints.
Chapter 12: Probability
In NCERT Class 12 Maths Chapter 12 Probability explains all the important concepts related to conditional probability which are helpful in understanding the Bayes’ theorem, multiplication rule of probability, and independence of events.
How to Use NCERT Class 12 Maths Books Effectively
Practice with NCERT Solutions: To use NCERT class 12 Maths books in a more effective way to practice more with NCERT questions given at the end of each chapter with miscellaneous questions.
Revise Regularly: Solve given questions regularly to improve your calculation speed and maintain the accuracy for better result in 12th board.
Solve Previous Year Papers: Solving 10 year previous year question papers will help you to improve your marks in the board exams.
Frequently Asked Questions:
Question 1: How many chapters are there in the Class 12 Maths NCERT Book Part 1?
Answer 1: There are a total of 6 chapters in the Class 12 Maths NCERT Book Part 1.
Question 2: How many chapters are there in the Class 12 Maths NCERT Book Part 2?
Answer 2: There are a total of 5 chapters in the Class 12 Maths NCERT Book Part 2.
Question 3: How can I buy Class 12 Maths NCERT books online?
Answer 3: You can buy Class 12 Math NCERT books on Amazon and flipkart.
Question 4: What is the price of a Class 12 Maths book online?
Answer 4: Both the books are available in Rs 300 online.
Question 5: What are the other reference books for Class 12 Maths?
Answer 5: Following are the reference books for class 12 Maths
| Mathematics for Class XII | RD Sharma |
| CBSE Examination Mathematics: 15 Sample Question Papers | Prem Kumar |
| CBSE Chapter-wise Solutions – Mathematics | Hemant Malhotra |
| Problems Plus In IIT Mathematics | A Das Gupta |
| NCERT Exemplar Problems | NCERT |
| Senior Secondary School Math 12 | R. S. Aggarwal |
| I.I.T. Mathematics | M.L. Khanna |
| CBSE U Like Class 12 Mathematics Sample Papers with solutions | Best Book Publishing House |