CBSE Class 12 Mathematics Relations and Functions Q #2169
KNOWLEDGE BASED
REMEMBER
5 Marks Generic-Curriculum LA
Show that the relation $R$ in the set $A$ of points in a plane given by $R = \{(P, Q) : \text{distance of the point } P \text{ from the origin is same as the distance of the point } Q \text{ from the origin}\}$, is an equivalence relation. Further, show that the set of all points related to a point $P \neq (0, 0)$ is the circle passing through $P$ with origin as centre. [Competency]
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