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

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1.Relation and Function

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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

An equivalence relation

B

Reflexive and symmetric only

C

Reflexive and transitive only

D

Reflexive only

(AIEEE-2005)

Solution

(c) Here $(3, 3), (6, 6), (9, 9), (12, 12)$, [Reflexive];

$(3, 6), (6, 12), (3, 12)$, [Transitive].

Hence, reflexive and transitive only.

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