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Assertion $(A) :$ Consider the non-empty set consists of children in a house, consider a relation $R : x R y$ iff $x$ is sister of $y$ then $R$ is an equivalence relation
Reason $(R) :$ A relation R on a set A is said to be an equivalence on $A$ iff it is reflexive, symmetric and transitive

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Both A and R are true and R is correct explanation of A

Both A and R are true But R is NOT the correct explanation of A

A is true but R is false

A is false but R is true

answer is D.

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Detailed Solution

The relation R is not reflexive because no one is sister her self. Hence the relation is not reflexive, so that the relation is not equivalence.

Therefore, the Assertion is false and Reason is true.

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