Q.

If ' R′ be a relation defined as aRb iff |a−b|>0, then the relation is (a,b∈R)

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a

Reflexive only

b

symmetric only

c

Transitive only

d

Symmetric and transitive

answer is B.

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Detailed Solution

|a−a|=0∴R is not Reflexive  If |a−b|>0⇒|b−a|>0R is Symmetric
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If ' R′ be a relation defined as aRb iff |a−b|>0, then the relation is (a,b∈R)