If a relation R on the set (1, 2, 3) be defined by R = {(1, 2)}, then R is
(a) reflexive (b) transitive (c) symmetric (d) none of these

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Solution

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

R = {(1, 2)}

Since, (1, 1) ∉ R
Therefore, It is not reflexive.

Since, (1, 2) ∈ R but (2, 1) ∉ 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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