CBSE Class 12 Sample Paper for 2021 Boards

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

## An equivalence relation R in A divides it into equivalence classes π΄1,π΄2, π΄3. What is the value of π΄1 βͺ π΄2 βͺ π΄3 and π΄1 β© π΄2 β© π΄3

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Question 3 (Choice 2) An equivalence relation R in A divides it into equivalence classes π΄1, π΄2, π΄3. What is the value of π΄1 βͺ π΄2 βͺ π΄3 and π΄1 β© π΄2 β© π΄3 Let R = {(1, 1), (2, 2), (3, 3)} be an equivalence relation A1 is the equivalence class containing one element as 1 β΄ A1 = {1} A2 is the equivalence class containing one element as 2 β΄ A2 = {2} A3 is the equivalence class containing one element as 3 β΄ A3 = {3} Now, π΄1 βͺ π΄2 βͺ π΄3 = {1, 2, 3} And π΄1 β© π΄2 β© π΄3 = π Similarly, for any equivalence class π΄1, π΄2, π΄3 π΄1 βͺ π΄2 βͺ π΄3 = A And π΄1 β© π΄2 β© π΄3 = π