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If R is an ...

Question

If $R$ is an anti symmetric relation in $A$ such that $(a, b), (b, a) \in R$ then

A

a \leq b

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B

a = b

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C

a \geq b

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D

None of these

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Solution

The correct option is D $a = b$
For $(a, b), (b, a)$ belongs to the same relation which is anti symmetric that is possible only if the relation is reflexive i.e $a = b$

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