CBSE Class 12 Sample Paper for 2021 Boards

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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 August 10, 2026 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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