CUET Preparation Today
Let A = {1, 2, 3, 4} and R be a relation in A given by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}. Then R is: |
Reflexive Symmetric Transitive An equivalent relation |
Symmetric |
(1, 1) (2, 2), (4, 4) ∈ R R is reflexive ∵ (1, 2), (3, 1) ∈ R and also (2, 1) (1, 3) ∈ R Hence, R is symmetric. But clearly R is not transitive. |
