Question

Let M be the set of men and R is a relation ‘is son of’ defined on M. Then, R is

(a) an equivalence relation

(b) a symmetric relation only

(c) a transitive relation only

(d) of the above

Answer 1

Correct option is (d)

Explanation:

∵ M = Set of men and R is a relation is son of defined on M.

Reflexive relation aRa.

Since, a cannot be a son of a.

Symmetric relation aRa ⇒ ***

which is also not possible.

Transitive relation aRb, aRc ⇒ cRa

which is not possible.