Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
and 
. Let 
be a relation on 
defined by 
if and only if 
is an even integer. Then the relation 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
Reflexive : 
always even so it is reflexive.
Symmetric : If 
Even
Case-I : odd odd
Case-II : even even
(c, d) 
Case-I : odd odd
Case-II : even even
so symmetric relation
Transitive :
Set 
Satisfy relation
Set 
Satisfy relation
but 
does not satisfy relation so not transitive.
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