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

## NCERT Solutions for Class 12 Maths Chapter 1 - Relations and Functions NCERT Solutions for Class 12 Maths Chapter-1 PDF is now available for download on the official website of Vedantu. Students will get the solutions to all the questions given in this NCERT chapter in the relation and function class 12 PDF. All the topics covered in class 12 Maths Chapter 1 are properly discussed here. Subject-matter experts at Vedantu have prepared these Relations and Functions Class 12 NCERT Solutions. Every solution has been worked out in a simple step by step manner so that students can understand it easily.

Download and go through the CBSE NCERT Solutions for Class 12 Maths Chapter 1 PDF for a better understanding of the sums. If you have doubts concerning CH 1 Maths class 12, you can go to the website and drop in your queries. Our experts will assist you with your doubts, in the best possible way.

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Students often feel troubled because they cannot find the appropriate solutions for NCERT solutions for class 12 maths chapter 1 relations and functions. Here, the learners will find the proper solutions to the sums of relation and function class 12 chapter. These solutions can be downloaded for free from the official website of Vedantu, so it’s just a click away.

### 1.1 Introduction

The NCERT Class 12 Maths Chapter 1 delves deep into the concepts of Relations and Functions. Students will have a recap of their learning from the previous class. The assessment will pave the way to a more in-depth understanding of the fundamental concepts of class 12 Maths Chapter 1. A student will also learn the quantifiable relationship between two objects belonging to the sets. All the key points pertaining to relations and functions can be clearly understood with the given set of instructions. For a good understanding of the NCERT solutions for class 12 Maths Chapter 1, there is a need to revise the topics covered in the previous class.

Students will gain a refined understanding of the topics covered in Chapter 1 by studying the given activities. By going through the activities carefully, and by solving the sums of Chapter 1 they will be able to establish a clear idea of the properties of Relations and Functions. The level of difficulty will be propelled from an easier stage to a difficult one as one goes on solving the sums, one after the other. After gaining an overall idea of Chapter 1, it will be easier for students to answer every question with the utmost clarity.

### 1.2 Recall

In NCERT Class 12 Maths Chapter 1 Solutions, students will get to revise some topics from the previous class pertaining to Relations and Functions. A reiteration of these topics will help them to gain a deeper understanding of vertible and invertible functions. Comprehensive knowledge of real numbers and the usage of addition, multiplication, division, and subtraction will help them develop a better understanding of this chapter. Along with this, an insight into how the usage of relations accentuates the complimentary integer is also included in this chapter. Furthermore, it will pave the way for understanding the domain and the co-domain that adheres to the principles of functions.

Exercise 1.1 Solutions: 16 Questions (3 Short Questions, 13 Long Questions)

### 1.3 Types of Functions

The above section explains the various types of Functions like identity function, constant function, polynomial function, rational function, modulus function, signum function, etc. This will help in understanding the relationship between the injective and the surjective function. One will also learn how the elements of three distinctly different numbers are in association with a host element. It furthermore provides a deeper sense of understanding about the finite as well as the infinite sets.

Exercise 1.2 Solutions: 12 Questions (5 Short Questions, 7 Long Questions)

### 1.3 Composition of Functions and Invertible Function

This section will focus on the composition of the functions and how the inverse quality concerning bijective works. Once you gain an understanding of this, you will be provided with examples exploring the relationship between the set and the codes. This section of the chapter focuses on the combination of two distinctly different functions and how a code can be eventually attached to it.

Exercise 1.3 Solutions: 14 Questions (4 Short Questions, 10 Long Questions)

### 1.5 Binary Operations

You must be aware of the fundamental concepts of the BODMAS rule right from your junior school days. It will show how operational functions assist in inducing two numbers and therefore, their association as binary operations is used in the merging of two integers into one. You will be able to cover all of the aspects of the operations. You will also learn how a set of numbers will be eventually substituted by an arbitrary set of numbers which concerns the binary operation. Moreover, the formulation of the pair pertaining to the elements will help in developing a deeper sense of understanding of the concepts covered in this chapter.

Exercise 1.4 Solutions: 13 Questions (6 Short Questions, 7 Long Questions)

### Key Features of NCERT Solutions for Class 12 Maths Chapter 1

You must go through every single point stated in this chapter for securing good marks in the exams. If you refer to the relations and functions class 12 NCERT solutions that have been prepared by our experts in NCERT, then you are definitely going to learn the basic, as well as, the core concepts of this topic. The key features of the solutions are listed below.

• The relation and function class 12 NCERT solutions are explained in a simple and logical manner to guide and assist the students in gaining an understanding of the chapter.

• By practicing the sums of relations and functions class 12 solutions, students will be able to instill better knowledge of the topics covered in the chapter.

• If students have any kind of doubts, they can refer to the class 12 Maths NCERT solutions chapter 1 and reach out to our experts for explanations.

• By following the instructions provided in the solutions will help students in getting good marks in the exam.

1. Why is Vedantu’s NCERT Solutions for Class 12 Maths Chapter 1 very reliable?

A. Class 12 NCERT solutions Chapter 1 is of utmost importance to enhance your basic Maths knowledge, which will be immensely helpful in your future. You have to understand not just the basic concepts of this chapter but even the advanced portion to hold a grasp over this.

Vedantu’s Relation and Function solutions PDF (you can also refer to our live video courses) will strengthen your fundamentals of the chapter. It will also prepare you in such a way that even the advanced questions from this chapter will be easy for you to solve.

Vedantu’s Relations and Functions questions and answers PDF have both easy-to-understand solutions to let you understand the basics and also advanced solutions to erase any kind of doubts related to the chapter. In our NCERT Solutions PDF for Class 12 Maths Chapter 1, you will find answers for the basic problems like finding if the Relation is reflexive, symmetric or transitive. Intermediate problems etc.

2. How many exercises are there in Class 12 Maths NCERT textbook Chapter 1?

A. Class 12 Maths Chapter 1 contains four exercises in total and all of these exercises consist of various kinds of questions such as short answer type, multiple choice questions.

• Exercise 1.1: 16 Questions (14 Short Answers, 2 MCQ)

• Exercise 1.2: 12 Questions (10 Short Answers, 2 MCQ)

• Exercise 1.3: 14 Questions (12 Short Answers, 2 MCQ)

• Exercise 1.4: 13 Questions (12 Short Answers, 1 MCQ)

3. Can you give a primary overview of the topics and sub-topics of the chapter?

A. The main topics and sub-topics covered in this chapter are given below. There is also a Miscellaneous Q&A section at the end of Chapter 1.

• 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

4. Why should I opt for NCERT Solutions for Class 12 Maths Chapter 1?

A. There are various reasons behind why every Class 12 student should opt for the NCERT Solutions for Class 12 Maths Chapter 1 as the best study guide. A few are given in the following. Take a look:

• All the answers to the questions asked in the textbook exercises are aimed at providing an effortless solution in solving the problems from Chapter 1 of Class 12 Maths named Relation and Function.

• NCERT solutions for Class 12 Maths provide the list of all the important formulas under one roof.

• NCERT Solutions are carefully created by some of the excellent subject matter experts from the relevant industry.

• These solutions can be beneficial while studying for various competitive exams such as JEE Main, Olympiad etc. apart from the board exams.

• These solutions help you to learn the question patterns, marks weightage etc. SHARE TWEET SHARE SUBSCRIBE