CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based  for Term 1)
Question 7  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
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)
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 CBSE Class 12 Sample Paper for 2021 Boards
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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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.