Cbsesolutions.net is providing free ncert solutions from classes 1st to 12th. In class 12 mathematics is one of the most important subjects. We provide sound knowledge and understanding of all important concepts covered in each chapter in the Class 12 Maths NCERT textbook. There are 13 important chapters from the NCERT textbook. Both problems and their detailed solutions are provided. The solutions have been devised by India’s best teachers to help students grasp basic concepts better and faster.
NCERT Solutions for class 12 maths- All Chapters
Below are the chapters covered in the class 12 maths ncert book. Click the chapter to get its solution.
- 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
- Chapter 7 Integrals
- Chapter 8 Application of Integrals
- Chapter 9 Differential Equations
- Chapter 10 Vector Algebra
- Chapter 11 Three Dimensional Geometry
- Chapter 12 Linear Programming
- Chapter 13 Probability
Exemplar Solutions
If you are looking for Class 12 Maths NCERT Solutions, there is no better place to be than right here. We provide Maths NCERT solutions class 12 that is precise, to the point and absolutely error-free. With NCERT reputed to be the best textbooks for school education, we make the solutions that are at par with the excellent textbooks.
CHAPTER 1- RELATIONS AND FUNCTIONS
The chapter builds upon the concepts of relations, functions, domain, and codomain introduced in Class 11. The students explore several real-valued functions and their graphs. The chapter comprises four exercises that consolidate the concepts explained in the chapter.
CHAPTER 2- INVERSE TRIGONOMETRIC FUNCTIONS
This chapter plays in the restricted range of trigonometric functions that enable them to be one on one and hence makes the inverse of the functions visible. 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.
CHAPTER 3- MATRICES
This chapter takes you through the properties of one of the most important tools of Mathematics, namely Matrices. The students learn the basics of Matrices and Matrix Algebra.
CHAPTER 4- DETERMINANTS
Correctly preceded by Matrix, this chapter deals with an important part of Matrices, namely Determinants. The chapter deals with determinants of orders up to 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.
CHAPTER 5- CONTINUITY AND DIFFERENTIABILITY
Correctly preceded by Matrix, this chapter deals with an important part of Matrices, namely Determinants. The chapter deals with determinants of orders up to 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.
CHAPTER 6- APPLICATION OF DERIVATIVES
With Continuity and Differentiability marking the start of Calculus, 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.
CHAPTER 7- INTEGRALS
- Exercise 7.1
- Exercise 7.2
- Exercise 7.3
- Exercise 7.4
- Exercise 7.5
- Exercise 7.6
- Exercise 7.7
- Exercise 7.8
- Exercise 7.9
- Miscellaneous exercise
This is one of the most important and time-consuming chapters in the whole Class 12 Mathematics. This chapter deals with the integration of functions, and its applications in terms of the calculation of areas. This marks the introduction to Integral Calculus. There are a total of 11 exercises in this chapter, making it a very practice-driven part of the syllabus.
CHAPTER 8- APPLICATION OF INTEGRALS
This chapter deals with the applications of integrals in calculating areas under the simple curve, lines, parabolas, and ellipses. The two exercises provide enough questions for practicing the area calculations.
CHAPTER 9- DIFFERENTIAL EQUATION
This chapter introduces the concept of Differential equations, the general and particular solutions, and the order and degree of an equation. This also talks about the applications of differential equations in the six exercises
CHAPTER 10- VECTOR ALGEBRA
This chapter deals with 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. Vector Algebra plays a big role in Physics.
CHAPTER 11- THREE DIMENSIONAL GEOMETRY
This chapter utilises vectors to calculate the distance between lines, a point and a line, and a line and a plane, along with the angles between them.It also introduces the concept of direction cosines
CHAPTER 12- LINEAR PROGRAMMING
This chapter explores the concept of linear programming problems, and their solutions using graphical method only.
CHAPTER 13- PROBABILITY
This chapter deals with the concept of Conditional Probability and the encounters of the same in our daily lives. This explores Bayes’ Theorem, the multiplication rule, and the independence of events. This chapter is best understood by practicing as many questions as possible.
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