Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Let 
be a relation on 
defined by 
if and only if 
. Then, 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
Relation 
defined on 
such that 
if and only if 
Now, 
because 
holds for each element 
.
Particularly, 
.
is reflexive.
Now, let 
is symmetric.
Now, let 
and 
is transitive.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and…
State T for true and F for false.
In a class of 140 students, 60 play football, 74 play hockey and …
Let , then (I) (II) (III) (IV)
Find .
The roster form of sets is an integer, and is a month of year not having 31 days are respecti…
Two finite sets have and elements. The total number of subsets of the first set is 56 more than t…
If a and , where are relatively prime, then