CBSE Class 12 Sample Paper for 2021 Boards

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

Question 2 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by

A relation R in 𝑆 = {1,2,3} is defined as 𝑅 = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which element(s) of relation R be removed to make R an equivalence relation?

A relation R in S = {1,2,3} is defined as R = {(1, 1), (1, 2), (2, 2)

 

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Question 2 A relation R in 𝑆 = {1, 2, 3} is defined as 𝑅 = {(1, 1), (1, 2), (2, 2), (3, 3)}. Which element(s) of relation R be removed to make R an equivalence relation? 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)

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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