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- 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 practicing.

In NCERT Class 12 maths chapter 1, students will study different types of relations and equivalence relation, the composition of functions, invertible functions, and binary operations.
NCERT Solutions For Class 12 Maths Chapter 1

The main features of this chapter are as follows:
  1. Empty relation
  2. Universal relation
  3. Reflexive relation
  4. Symmetric relation
  5. Transitive relation
  6. 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, chapter 1-Relations and Functions, concepts of relation and functions given here in a detailed and easy manner to understand

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