An equivalence relation R in A divides it into equivalence classes š“1,š“2, š“3. What is the value of š“1 ∪ š“2 ∪ š“3 and š“1 ∩ š“2 ∩ š“3
CBSE Class 12 Sample Paper for 2021 Boards
CBSE Class 12 Sample Paper for 2021 Boards
Last updated at August 10, 2026 by Teachoo
Transcript
Question 3 (Choice 2) An equivalence relation R in A divides it into equivalence classes š“1, š“2, š“3. What is the value of š“1 āŖ š“2 āŖ š“3 and š“1 ā© š“2 ā© š“3 Let R = {(1, 1), (2, 2), (3, 3)} be an equivalence relation A1 is the equivalence class containing one element as 1 ā“ A1 = {1} A2 is the equivalence class containing one element as 2 ā“ A2 = {2} A3 is the equivalence class containing one element as 3 ā“ A3 = {3} Now, š“1 āŖ š“2 āŖ š“3 = {1, 2, 3} And š“1 ā© š“2 ā© š“3 = š Similarly, for any equivalence class š“1, š“2, š“3 š“1 āŖ š“2 āŖ š“3 = A And š“1 ā© š“2 ā© š“3 = š