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Q.

Among the following an equivalence relation is

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a

is parallel to

b

is perpendicular to

c

is similar to

d

is congruent to

answer is A, C, D.

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Detailed Solution

A) is parallel to

Reflexive: A||B,B||B

Symmetric: A||B,B||A

Transitive: A||B,B||CthenA||C

B) is perpendicular to

Transitive relation not satisfy

 AB,BC

is not AC

C) is similar to

It is satisfy

Reflex: A~A

Symmetric: A~B,B~A

Transitive: If A~B,B~C

Then A~C

D) is congruent to

It is similar to similar condition.

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