Question

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≠(0, 0) is the circle passing through P with origin ascentre.

Answer 1

@LilySwan @Hoa

Answer 2

R is an equivalence relation representing a circle
with centre at the origin and radius OP

Answer 3

Thank you Madam.

Answer 4

here you go your working http://prntscr.com/13dcfh

Answer 5

Thank you Madam