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Question

Let R be a relation on a set A such that R=R1 then R is

A
Reflexive
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B
symmetric
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C
Transitive
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D
None of these
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Solution

The correct option is D symmetric
Let (a,b)R
Then, (a,b)R(b,a)R1, [by def of R1]
(b,a)R, [R=R1], so R is symmetric.

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