Q.

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

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a

reflexive and transitive only

b

reflexive only

c

an equivalence relation

d

reflexive and symmetric only

answer is A.

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Detailed Solution

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A={3,6,9,12} and (3,3),(6,6),(9,9),(12,12)RR is reflexive

(6,12)R but (12, 6) RR is not symmetric

(3,6)R,(6,12)R(3,12)R

R is transitive

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