First slide

Relations XII

Question

Two points A and B in a plane are related if OA =OB, Where O is a fixed point. This relation is

Moderate

A

A partial order relation
B

Equivalence relation
C

Reflexive but not symmetric
D

Reflexive but not transitive

Solution

OA = OA ; OA = OB $\Rightarrow O B = O A$
OA = OB ; OB = OC $\Rightarrow O A = O C$

Hence it is equivalence relation

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