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Let R={(3,3),(6,6),(9,9),(12,12),(6,12),...

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

A

reflexive and symmetric only

B

an equivalence relation

C

reflexive only

D

reflexive and transitive only

Text Solution

Verified by Experts

The correct Answer is:
D
Clearly, corresponding to each `a in A` the ordered pair `(a, a) in R`. So, R is reflexive on A.
R is not symmetric because `(6, 12) in R` but `(12, 6) cancelin R`.
R is a transitive relation on A.
Hence, option (d) is correct.
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