Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Let 
and 
Let 
be a relation on 
define by 
if and only if 
is an even integer. Then the relation 
is
Text Solution
Verified by ExpertsThe correct answer is:
C
Reflexive: (a, b) R(a, b) 
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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