# NCERT Exemplar Class 11 Maths Chapter 2 Solutions: Relations and Functions

NCERT Exemplar Solutions for Class 11 Maths Chapter 2 deals with the concepts of relations and functions. These solutions prepared by the expert maths teachers at Instasolv will help you in solving the questions competently and efficiently. Our main aim is to provide you with the detailed and step-wise explanations of all the problems given in the chapter of NCERT Exemplar Class 11 Maths at a single web page to avoid any hassle.

Some of the main topics of NCERT Exemplar Solutions for Maths Class 11 Chapter 2 include Rational Function, Functions on Sets, Algebra of Functions, Subtraction of a Real Function from another, Quotient of two Real Function, Constant Function, Identity Function, Polynomial Function, Signum Function, Graphical Representation of Functions, and Algebraic Representation of Real Functions.

NCERT Exemplar Chapter 2 – Relations and Functions has 3 main exercises with around 56 questions in total. There are different types of questions available for practice including short answer type questions, long answer type questions, and multiple-choice questions. Follow the NCERT Exemplar Solutions for Class 11 Maths Chapter 2 provided by Instasolv now to clear your concepts and excel in your exams.

## Important Topics for NCERT Maths Exemplar Solutions Class 11 Chapter 2 – Relations and Functions

**What is the Relation?**

A relationship between sets of information is called a relation. For example, there are different boys in your class. The pairing of all the names and heights of the boys is a relation. In relations and functions, the pairs of names and heights are “ordered”, which means one boy comes first and the other boy comes second and so on.

**What is a Function?**

A function is a “well-mannered” relation. For example, the relationships you have with the members of your own family, some members of the family behave better to you with that compared to the other members of the family.

**Cartesian Product of Sets**

Let’s take two non-empty sets Q and R. So, the Cartesian product of Q and R is the set of all ordered pairs of elements from Q and R.

Q × R = {(q,r) : q ∊ Q, r ∊ R}

Let Q = {q_{1},q_{2},q_{3},q_{4}} and R = {r_{1},r_{2}}

Then, the Cartesian product of Q and R will be;

Q × R = {q_{1}r_{1}, q_{2}r_{1}, q_{3}r_{1}, q_{4}r_{1}, q_{1}r_{2}, q_{2}r_{2}, q_{3}r_{2}, q_{4}r_{2}}

For example: Let suppose, M = {a,b,c} and N = {1,2,3}

Therefore, M × N = {a 1, a 2, a 3, b 1, b 2, b 3, c 1, c 2, c 3}. This set has 8 ordered pairs. This can also be represented in a tabular form.

### Exercise-wise Discussion of NCERT Maths Exemplar Solutions Class 11 Chapter 2 – Relations and Functions

NCERT Maths Exemplar Solutions Class 11 Chapter 2 – Relations and Functions consists of solved examples as well as the exercises for practice. There are around 14 solved examples and 3 exercises which consist of a total of 42 questions. The description of these exercises are listed below:

**Exercise 2.1 – Short Answer Type Questions**

In this exercise of Chapter 2 – Relations and Functions there are a total of 15 questions that are based on the concepts of relations and functions.

**Exercise 2.2 – Long Answer Type Questions**

NCERT Maths Exemplar Solutions Class 11 Chapter 2 Exercise 2.2 contains a total of 8 questions. They are long answer type questions where you have to find the domain and range of given functions. There are also questions related to arithmetic operations on functions.

**Exercise 2.3 – Objective Type Questions**

This exercise consists of a total of 18 questions which are objective type questions based on domain and range of functions, ordered pairs in relations. This exercise includes MCQs, fill in the blanks, match the following and state true or false type questions.

## Why Use NCERT Maths Exemplar Solutions Class 11 Chapter 2 – Relations and Functions by Instasolv?

Class 11 is considered as the building blocks of Maths in higher classes. If you are studying in CBSE Class 11 then you can easily get the NCERT Exemplar Class 11 available at Instasolv. We have curated the detailed solutions of Chapter 2 – Relations and Functions of class 11 Maths so that there is no space for any kind of doubt regarding the concepts of relations and functions.

- Our solutions will prove helpful for you to score high marks in your academics as well as the entrance exams.
- Our NCERT Exemplar Solutions for Class 11 Maths Chapter 2 are accurate and easy to understand.
- All our solutions are prepared as per the latest syllabus of NCERT.
- All the solutions are prepared by our expert maths teachers for your better understanding.

Follow the NCERT Exemplar Solutions for Class 11 Maths Chapter 2 provided by Instasolv now for FREE!