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Q.

Which one of the following relations on R is an equivalence relation?

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a

a R1 b⇔a=b

b

a R2 b⇔a≥b

c

a R3 b⇔a divides b

d

a R4 b⇔a>b

answer is A.

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Detailed Solution

a R1 b⇔a=b Satisfies. reflexive  a=a symmeetric if  a=b then b=a transitive ifa=bandb=cthen  a=c
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