Question 11 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

Let the relation R in the set A = {x ∈
Z
: 0 ≤ x ≤ 12}, given by R = {(a, b) : |a – b| is a multiple of 4}. Then [1], the equivalence class containing 1, is:

Question 11 Let the relation R in the set A = {x ∈ Z : 0 ≤ x ≤ 12}, given by R = {(a, b) : |a – b| is a multiple of 4}. Then [1], the equivalence class containing 1, is: (a) {1, 5, 9} (b) {0, 1, 2, 5} (c) 𝜙 (d) A
Given
R = {(a, b) : |a – b| is a multiple of 4}
& A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Here a = 1,
We need to find values of b such that (a, b) ∈ R
The set of elements related to 1 are {1, 5, 9}
So, the correct answer is (a)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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