Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
be two relation defines as follows:
and
,
where 
is the set of all rational numbers. Then:
A
Neither 
nor 
is transitive.
nor is transitive.
B
is transitive but 
is not transitive.
C
and 
are both transitive.
D
is transitive but 
is not transitive.
Text Solution
Verified by ExpertsThe correct answer is:
A
JEE Main 2020
(I) If 
and 
and 
Then 
but we cannot say anything about 
, that it is rational or not.
So, 
is not transitive.
(II) If 
and 
and 
But we can’t say anything about 
, that it is rational or irrational.
So, 
is not transitive.
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