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Show that the relation R in the set A of...

Show that the relation R in the set A of points in a plane given by `R = {(P,Q):` distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point `P ne (0,0)` is the circle passing through P with origin as centre.

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