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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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.