Let `O` be the origin. We define a relation between two points `P` and `Q` in a plane if `O P=O Q` . Show that the relation, so defined is an equivalence relation.

Explanation

Let `A` be set of points on the plane.



Let `R=\{(P, Q): O P=O Q\}` be a relation on `A` where `O` is the origin.



To prove `R` is an equivalence relation, we need to show that `R` is reflexive, symmetric and transitive on A.




Proof :
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