CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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 Sept. 4, 2021 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)

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CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.