Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Consider the relations 
and 
defined as 
for all 
and 
for all 
. Then
A
Only 
is an equivalence relation
is an equivalence relation
B
Only 
is an equivalence relation
is an equivalence relation
C
and 
both are equivalence relations
D
Neither 
nor 
is an equivalence relation
nor is an equivalence relation
Text Solution
Verified by ExpertsThe correct answer is:
B
for 
: Not reflexive symmetric not transitive for 
is reflexive, symmetric and transitive Hence only 
is equivalence relation.
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