If a relation R on the set (1, 2, 3) be defined by R = {(1, 2)}, then R is


If a relation R on the set (1, 2, 3) be defined by = {(1, 2)}, then R is 

(a) reflexive           (b) transitive               (c) symmetric             (d) none of these


Given: A relation R on the set {1, 2, 3} be defined by = {(1, 2)}.

= {(1, 2)}

Since, $(1,1) \notin R$

Therefore, It is not reflexive.

Since, $(1,2) \in R$ but $(2,1) \notin R$

Therefore, It is not symmetric.

But there is no counter example to disapprove transitive condition.
Therefore, it is transitive.

Hence, the correct option is (b).

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