NCERT Solutions for Class 12 Maths, 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 are not
functions. For every input of a function, there is only one single output. In NCERT
Solutions for Class 12 Maths, Chapter 1 – Relations and Functions, you’ll study
various kinds of relations and functions, the composition of functions, invertible
functions and also binary operations. The concept of ‘Functions’ and ‘Relations’ is very
important in Mathematics, as it has real-life applications such as calculating the
temperature, finding the measurement, a circumference of a circle, length of a shadow
and more.

Let’s take a look at topics and sub-topics of class 12 Maths, Chapter 1 – Relations and Functions

1.1 Introduction
1.2 Types of Relations
1.3 Types of Functions
1.4 Composition of Functions and Invertible Function
1.5 Binary Operations

In Class 12 Maths Chapter 1, you will learn – 

Section 1.2 – In this section, you’ll learn about different types of relations such as
empty relation, universal relation, reflexive relation, symmetric relation, trivial relation,
equivalence relation and more.
Section 1.3 – In this section, you’ll study different types of functions such as one-one
(or injective), onto (or surjective), one-one and onto (or bijective).
Section 1.4 – In this section, you’ll acquire knowledge about the composition of
functions and the inverse of a bijective function.
Section 1.5 – In this section, you’ll study different binary operations such as
commutative binary operations and associative binary operations.
To understand the concepts better, you are provided with many examples (along with
their solutions), To know more about the Class 12 Maths Chapter 1 Relations and
Functions, you should explore the exercises below. You can also download the
Relations and Functions Class 12 NCERT Solutions PDF, solved by expert Maths
trainers.
Also, solve Miscellaneous Exercises of Class 12 Maths Chapter 1 Relations and
Functions.