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)
This question is
inspired from
-
Question 2
- CBSE Class 12 Sample Paper for 2021 Boards
This video is only available for Teachoo black users
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)
Made by
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.