Let R be any relation in the set A of human beings in a town at a particular time.
Assertion (A): If R = {(x, y) : x is wife of y}, then R is reflexive.
Reason (R): If R = {(x, y) :x is father of y}, then R is neither reflexive nor symmetric
nor transitive.
Assertion (A) and Reason (R). Answer these questions selecting the appropriate option given below:

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

Both A and R are true and 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

Assertion-Here R is not reflexive: as x can not be wife of x.
Reason-Here, R is not reflexive; as x can not be father of x, for any x. R is not symmetric as if x is father of y, then y cannot be father of x.
R is not transitive as if x is father of y and y is father of z, then x is grandfather (not father)of z.

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