Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
. Define a relation 
on 
as: 
Statement I: 
is an equivalence relation.
Statement II: For some 
, the set 
represents a line parallel to 
.
choose the correct answer from the options given below :
Text Solution
Verified by ExpertsThe correct answer is:
B
Reflexive: 
True
Symmetric: 
True
Transitive: 
Hence Relation 
is an equivence relation Statement-I is true.
For statement 
so False
──────────────────────────────────────────────────────────────────────────────────────────
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
Let . Let R be a relation on defined by if and only if . Let be the number of elements in R. L…
Consider the sets
and . The total number of one-one functions from the set D to the set C is:
Let and R be a relation on A defined by if and only if . Let be the number of elements in . Le…
Let . Let R be a relation on A defined by if and only if . Let be the number of elements in R a…
Let and be a relation on such that . Let ( , be a sequence of elements of such that the sec…
For , let denote the set of all subsets of with no two consecutive numbers. For example , but …