Published by:
CGP EDU Academic Team
Published on: August 12, 2026
PART-III MATHEMATICS
SECTION-B
Let 
and 
be two relations defined on R by 
and 
, then
A
is an equivalence relation but not 
B
is an equivalence relation but not 
C
both 
and 
are equivalence relations
and are equivalence relations
D
neither 
nor 
is an equivalence relation
nor is an equivalence relation
Text Solution
Verified by ExpertsThe correct answer is:
D
For reflexive 
which is true.
For symmetric
If 
If 
and 
Then 
but 
is not true
not transitive relation.
is not equivalence
if 
it does not implies 
is not equivalence relation
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