NCERT Solutions for Class 12 Maths Chapter 1 - Relations and Functions solved by Expert Teachers as per latest 2020 NCERT (CBSE) Book guidelines. All Relations and Functions Exercise Questions with Solutions to help you to revise the complete Syllabus.
Subject specialists have created NCERT solutions for class 12 Maths chapter 1 which includes thorough solutions for reference. These solutions are updated according to the latest term – I CBSE syllabus for 2021-22 and are provided in easy language for understanding. Tips and tricks are also provided.
In this chapter, students study different types of relations and equivalence relations, the composition of functions, invertible functions, and binary operations. Students can use the NCERT Solutions of this chapter for any quick reference to comprehend complex topics.
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 solutions for all the questions listed under the below exercises:
- : 16 Questions (14 Short Answers, 2 MCQ)
- : 12 Questions (10 Short Answers, 2 MCQ)
- : 14 Questions (12 Short Answers, 2 MCQ)
- : 13 Questions (12 Short Answers, 1 MCQ)
Ref: https://infinitylearn.com/surge/study-materials/ncert-solutions/class-12/maths/chapter-1-relations-and-function/