CBSE Class 12 Sample Paper for 2021 Boards

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Question 3 (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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An equivalence relation R in A divides it into equivalence classes 𝐴1,𝐴2, 𝐴3. What is the value of 𝐴1 ∪ 𝐴2 ∪ 𝐴3 and 𝐴1 ∩ 𝐴2 ∩ 𝐴3

An equivalence relation R in A divides it into equivalence classes A1

Question 3 (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

 

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Question 3 (Choice 2) An equivalence relation R in A divides it into equivalence classes 𝐴1, 𝐴2, 𝐴3. What is the value of 𝐴1 ∪ 𝐴2 ∪ 𝐴3 and 𝐴1 ∩ 𝐴2 ∩ 𝐴3 Let R = {(1, 1), (2, 2), (3, 3)} be an equivalence relation A1 is the equivalence class containing one element as 1 ∴ A1 = {1} A2 is the equivalence class containing one element as 2 ∴ A2 = {2} A3 is the equivalence class containing one element as 3 ∴ A3 = {3} Now, 𝐴1 ∪ 𝐴2 ∪ 𝐴3 = {1, 2, 3} And 𝐴1 ∩ 𝐴2 ∩ 𝐴3 = 𝜙 Similarly, for any equivalence class 𝐴1, 𝐴2, 𝐴3 𝐴1 ∪ 𝐴2 ∪ 𝐴3 = A And 𝐴1 ∩ 𝐴2 ∩ 𝐴3 = 𝝓

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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