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Chapter 1 Relations and Functions
What are relations and functions? While a ‘relation’ is a set of inputs and outputs expressing a relationship between the two values, ‘functions’ are relations that make sense. So, in other words, all functions are relations, however, all relations...
Chapter 2 Inverse Trigonometric Functions
In the previous chapter, you studied about the meaning, type and properties of functions. You also studied about trigonometric functions and that every function has an inverse relation, which in turn is a function only if the actual function is one-to-one....
Chapter 3 Matrices
Matrix is a rectangular collection of numbers (usually real numbers), symbols or even expressions arranged in the form of rows and columns. For example, a matrix having a dimension of 2x3 has two rows and three columns. Matrix is an important tool in Mathematics,...
Chapter 4 Determinants
In the previous chapter, you studied Matrix and properties related to Matrix. In Class 12, Chapter 4, you’ll study Determinants and their properties. The Determinant of a matrix is the number obtained from a square matrix. The determinant of a matrix...
Chapter 5 Continuity and Differentiability
In Class 11th, you have studied the differentiation of functions and learnt to differentiate trigonometric and polynomial functions. In Class 12, Chapter 5 - Continuity and Differentiability, you’ll study significant concepts such as continuity, differentiability and...
Chapter 6 Application of Derivatives
In the last chapter, you learnt how to find a derivative of composite functions, inverse trigonometric functions, implicit functions, exponential functions and logarithmic functions. NCERT Solutions for Class 12, Chapter 6 deals with applications of the...
Chapter 7 Integrals
In earlier chapters, you studied about Differentiation. In NCERT Solutions for Class 12 Maths, Chapter 7, you will study what integration is all about. In fact, integration is the inverse process of differentiation. In differentiation, you know what the...
Chapter 8 Application of Integrals
In earlier classes, you have studied how to calculate the areas of different geometrical shapes and figures such as circles, triangles, rectangles, trapeziums and more. However, at times we need to find the areas of those geometrical figures which are...
Chapter 9 Differential Equations
A differential equation is one that involves derivatives of the dependent variable with respect to independent variables. In this chapter, you’ll acquire knowledge about some basic concepts related to differential equations such as general and particular...
Chapter 10 Vector Algebra
In science and mathematics, basically there are two types of quantities - scalar and vector quantities. The scalar quantity involves only one value (magnitude) such as speed, length, mass, area and so on. On the other hand, the vector quantity comprises more...
Chapter 11 Three Dimensional Geometry
Last year, you studied analytical Geometry in both two and three dimensions (only Cartesian Methods). You also studied basic terms related to vectors in the previous chapter. In NCERT Class 12 Maths, Chapter 11, both these topics will be merged and you’ll...
Chapter 12 Linear Programming
Last year, you studied linear equations and linear inequities in two variables (along with their solutions) graphically. You know that linear programming is one of the best methods of performing optimisation by making some simple assumptions. In NCERT Class...
Chapter 13 Probability
‘Probability’ means the chances obtained of an event among a large number of possibilities. In this chapter, you’ll study what ‘conditional probability of an event’ is, given that another event has occurred. In NCERT Solutions for Class 12 Maths, Chapter...
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