# NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions includes solutions to all of the chapter’s problems. All of the exercise questions are answered in a step-by-step manner. Solving questions from the NCERT textbook for Class 12 Maths aids in understanding the concepts in a simple manner.

For a better grasp of the sums, download and go through the CBSE NCERT Solutions for Relation and Function Class 12 PDF.

## Download NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions PDF

You should grasp not only the fundamentals of this chapter but also the more complex sections in order to master the chapter Relations and Functions Class 12. Go through the NCERT Solutions For Relations and Functions Class 12 below:

### Access Class 12 Maths Chapter 1 NCERT Solutions: Relations and Functions

Class-12-Mathematics-Solutions-Chapter-1 pdf

Practicing these NCERT Class 12 Maths Chapter 1 Solutions will aid students in their test preparation in such a way that even the most difficult questions from this chapter will appear to be simple. Scroll down to know more!

## What will you get in NCERT Solutions Class 12 Maths Chapter 1 Relations and Functions?

You will learn several types of relations including equivalence relations, the composition of functions, invertible functions, and binary operations in NCERT Solutions for Class 12 Maths Chapter 1.

The important topics that this chapter includes are as follows-

• Empty relation
• Universal relation
• Reflexive relation
• Symmetric relation
• Transitive relation
• Equivalence relation
• A function f : X → Y is one-one (or injective) if f (x1) = f(x2) ⇒ x1 = x2 ∀ x1, x2 ∈ X.
• A function f : X → Y is onto (or surjective) if given any y ∈ Y, ∃ x ∈ X such that f(x) = y.
• A function f: X → Y is one-one and onto (or bijective), if f is both one-one and onto.
• A function f: X → Y is invertible if and only if f is one-one and onto.

NCERT Solutions For Class 12 Maths Chapter 1 Exercises:

Have a look at the list of an exercise-wise module below-

• Exercise 1.1 Class 12 Maths Solutions: 16 Questions (14 Short Answers, 2 MCQ)
• Exercise 1.2 Solutions: 12 Questions (10 Short Answers, 2 MCQ)
• Exercise 1.3 Solutions: 14 Questions (12 Short Answers, 2 MCQ)
• Exercise 1.4 Solutions: 13 Questions (12 Short Answers, 1 MCQ)

The following are the primary themes covered in this chapter:

 Section Topic 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 Others Miscellaneous Q&A

## NCERT Solutions for Class 12 Maths Chapter 1: Sections

### 1.1 Introduction

The first chapter of NCERT Class 12 Maths focuses on the fundamentals of Relations and Functions. You will be given a review of what you learned in the prior class. The evaluation will prepare the way for a deeper knowledge of the essential topics in Chapter 1 of class 12 Maths.

### 1.2 Relations

You will review several topics from the previous lesson relevant to Relations in NCERT Class 12 Maths Chapter 1 Solutions. In addition, this chapter includes information on how the use of relations emphasizes the complementary integer.

### 1.3 Types of Functions

Identity function, constant function, polynomial function, rational function, modulus function, signum function, and other types of functions will be discussed in this section. It will also assist you in learning the relationship between the injective and surjective functions. It will also explain how the elements of three distinct numbers are linked to a host element. It also gives you a better knowledge of both finite and infinite sets.

### 1.4 Composition of Functions and Invertible Function

This section will look at how the functions are composed and how the inverse quality of the bijective works. After you’ve grasped this concept, you’ll be given examples that explore the relationship between the set and the codes. This section of the chapter focuses on the merging of two independent functions and how a code might be attached to it in the end.

### 1.5 Binary Operations

Beginning from grade school, you should be familiar with the basic concepts of the BODMAS rule. It will demonstrate how operational functions to aid in the induction of two numbers and, as a result, how binary operations are utilized to merge two integers into one.

You’ll be capable of handling every part of the operation. You’ll also learn about the binary operation, which involves a set of numbers being finally substituted by an arbitrary set of numbers.

## Benefits of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

So why should one opt for NCERT Solutions for Class 12 Maths Chapter 1? Let’s see why?

• The NCERT solutions worked in explaining the topic of Relations and Function in a simplified manner for a robust understanding of the chapter altogether.
• Additionally, the topics are organized in a way to make it simple for students to wrap up the chapters on time. It offers ample scopes to move on to the next best possible steps of solving the questions banks, sample papers, previous year question papers, and more.
• Once you start practicing the study tools, you will learn the chapters more in deep which is sure to enhance your confidence hence ultimately performing great in your board’s finals.

Finally, these steps will develop a keen sense of time management and accuracy with the practice which is excellent for your board’s preparation, isn’t it?

Here, we have chalked down all the necessary information about CBSE NCERT Solutions for Class 12 Maths Chapter 1 in here. If you find any topic hard to understand feel free to ask in the comment section below.

### How many exercises are there in Chapter 1 of the NCERT textbook for Class 12 Maths?

In total, there are four exercises in Chapter 1 of Class 12 Maths.

### Can I receive an overview of the NCERT Solutions for Class 12 Maths Chapter 1 topics?

Yes. Go through the above blog for an overview of the NCERT Solutions for Relations and Functions Class 12 topics.

### Are NCERT Solutions for Class 12th Maths Chapter 1 sufficient for board examinations preparation?

Yes. NCERT Solutions for Class 12 Maths Chapter 1 covers all the topics of relations and functions which is sufficient for board examinations preparation.

### Where can I download Maths Chapter 1 Class 12 NCERT solutions?

You can download Maths Chapter 1 Class 12 NCERT solutions from the above blog.

### What distinguishes NCERT Solutions Class 12 Maths Chapter 1 from others?

The NCERT exercises are addressed by subject matter experts who have a thorough understanding of the key ideas. Every step is described in easy-to-understand language to ensure that students understand how to solve complex issues without difficulty.

### 2 thoughts on “NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions”

1. Got the solution. Thanq

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