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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 Dec. 16, 2024 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

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

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

    CBSE Class 12 Sample Paper for 2021 Boards →
CBSE Class 12 Sample Paper for 2021 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo