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

## NCERT Solutions For Class 12 Maths Chapter 1 PDF Free Download

NCERT solutions for class 12 Maths chapter 1- Relations and Functions, provides solutions for all the questions enlisted under the chapter. All exercise questions are solved using step by step approach. Students can practice these NCERT Solutions for Class 12 Maths to grasp the concepts perfectly. Students can download these NCERT Solutions of Class 12 mathematics to sharpen their maths skills. Get your free PDF now and start practising.

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

### Access Answers of Maths NCERT Chapter 1 Relations and Functions                                                           Also Access NCERT Exemplar for class 12 Maths Chapter 1 CBSE Notes for class 12 Maths Chapter 1

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

In NCERT Class 12 maths chapter 1, students will studied different types of relations and equivalence relation, composition of functions, invertible functions and binary operations.

The main features of this chapter 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:

Get detailed solution for all the questions listed under below exercises:

Exercise 1.1 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)

Miscellaneous Exercise Solutions : 19 Questions (7 Long answers, 9 Short answer type, 3 MCQ)

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

NCERT Solutions for Class 12, chapter 1-Relations and Functions, concepts of relation and functions given here in a detailed and easy manner to understand.

The main topics covered in this chapter include:

 Exercise 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

Key Features of NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

1. These NCERT exercises meticulously solved by subject experts.
2. Simple and easy language used.
3. All questions are solved using Step-by-step approach
4. Practice all the solved examples given and get exam ready.
5. These NCERT solutions are valuable help to students in their assignments and competitive exams.