Question

A relation 'R' in a set 'A' is called reflexive, if

पर्याय

• (a, a) ∈ R for every a ∈ A.

• (a, b) ∈ R implies that (b, a) ∈ for all b ∈ A for all b ∈ A.

• (a, b) ∈ R and (b, c) ∈R ⇒ (a, c) ∈R for all a, b, C∈A.

• None of the above.

Answer 1

(a, a) ∈ R for every a ∈ A.

Explanation:

Reflexive: If (a, a) ∈ R for every a ∈ A.

Symmetric: - If (a, b) ∈ R implies that (b, a) ∈ R for all b ∈ A.

Transitive: If (a, b) ∈ R and (b' c) ∈ R implies that (a, c) ∈ R for all a, b, c ∈ A