NCERT Solutions for Class 12 Mathematics

NCERT Solutions for Class 12 Mathematics

Chapter 1: Relations and Functions

This chapter deals with types of relations and functions, composition of functions, and invertible functions.

Chapter 2: Inverse Trigonometric Functions

This chapter covers the inverse trigonometric functions, their properties, and graphs.

Chapter 3: Matrices

This chapter introduces matrices, types of matrices, operations on matrices, and the concept of the inverse of a matrix.

Chapter 4: Determinants

This chapter explains determinants, properties of determinants, and their applications in finding the area of triangles, minors, cofactors, and adjoints.

Chapter 5: Continuity and Differentiability

This chapter covers the concepts of continuity, differentiability, derivative of composite functions, and implicit functions.

Chapter 6: Applications of Derivatives

This chapter discusses the applications of derivatives in various fields including rate of change, tangents and normals, maxima and minima, and approximation.

Chapter 7: Integrals

This chapter introduces the concept of integration, methods of integration, and the fundamental theorem of calculus.

Chapter 8: Applications of Integrals

This chapter covers the applications of integrals in finding the area under curves and between curves, and the calculation of volumes of solids of revolution.

Chapter 9: Differential Equations

This chapter deals with the formation, order, degree, and solutions of differential equations, and their applications.

Chapter 10: Vector Algebra

This chapter introduces vector algebra, including vector operations, scalar and vector products, and their applications.

Chapter 11: Three Dimensional Geometry

This chapter discusses three-dimensional geometry, including the direction cosines and ratios, equations of lines and planes in space, and the shortest distance between two lines.

Chapter 12: Linear Programming

This chapter covers linear programming problems and methods to solve them graphically.

Chapter 13: Probability

This chapter deals with the probability of events, conditional probability, Bayes' theorem, random variables, and probability distributions.