A relation R in set A = {1, 2, 3} is defined as R = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which of the following ordered pair in R shall be removed to make it an equivalence relation in A?

(a) (1, 1)   (b) (1, 2)  (c) (2, 2)  (d) (3, 3)

This question is inspired from - Question 2 - CBSE Class 12 Sample Paper for 2021 Boards

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  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 7 A relation R in set A = {1, 2, 3} is defined as R = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which of the following ordered pair in R shall be removed to make it an equivalence relation in A? (a) (1, 1) (b) (1, 2) (c) (2, 2) (d) (3, 3) R = {(1, 1), (1, 2), (2, 2), (3, 3)} Here, since we have (1, 2), We need to have (2, 1) also… to make it symmetric But, if we remove (1, 2), Then our Relation can be symmetric, reflexive and transitive i.e. equivalent Thus, we remove (1, 2) So, the correct answer is (b)

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Davneet Singh
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.