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. Solving the questions from the Class 12 Maths NCERT textbook help in grasping the concepts correctly. Students can download and go through these NCERT Solutions of Class 12 mathematics to sharpen their Maths skills. 
Students should understand not only the basics of this chapter but also the advanced portions to have a command over the chapter Relations and Functions. Practising these NCERT Solutions of Class 12 Maths will help the students in their exam preparation in such a way that they would find even the difficult questions from this chapter to be extremely easy.

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

In NCERT Class 12 maths chapter 1, students study 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)

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 are meticulously solved by subject experts.
  2. Simple and easy language used.
  3. All questions are solved with best possible explanations given.
  4. These NCERT solutions are a valuable help to students in their assignments and competitive exams.

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