Two points A and B in a plane are related if OA = OB, where O is fixed point, this relation is :

Equivalence relation

The correct answer is Option (4) → Equivalence relation

(1) Reflexive

as for ∀ A ∈ plane, OA = OA ⇒ (A, A) ∈ Relation

(2) Symmetric

for every (A, B) ∈ Relation, OA = OB ⇒ OB = OA

⇒ (B, A) ∈ Relation

(3) Transitive

(A, B) ∈ Relation, (B, C) ∈ Relation ⇒ OA = OB = OC

⇒ OA = OC ⇒ (A, C) ∈ R

⇒ Equivalence relation