Q. 334.5( 2 Votes )

# Let A = {1, 2, 3}

Answer :

Given that, A = {1, 2, 3} and

R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.

Now,

R is reflexive (1,1),(2,2),(3,3) R

R is not symmetric (1,2),(2,3),(1,3) R but (2,1),(3,2),(3,1) R

R is transitive (1,2) R and (2,3) R (1,3) R

Thus, R is reflexive, transitive but not symmetric.

Hence, option ‘A’ is correct.

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