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Question

Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)} be a relation on the set A={3,6,9,12}. The relation is

A
reflexive and symmetric only
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B
an equivalence relation
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C
reflexive only
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D
reflexive and transitive only
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Solution

The correct option is D reflexive and transitive only
Here, (3,3),(6,6),(9,9),(12,12)R R is reflexive.
Now, (6,12)R but (12,6)RR is not symmetric.
Also, (3,6),(6,12)R(3,12)RR is transitive.

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