JEE Main 2026 — Sets and Relations Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
Let the relation R on the set be given by . Then the minimum number of elements required to be added in R, in order to make the relation symmetric, is equal to
Choose an option
Show full solutionCorrect option: C
Correct answer
C2
Step-by-step explanation
Given where .
From , we get .
For to be a positive integer, , i.e., .
So .
,
,
,
.
.
For symmetry, requires and requires .
is already symmetric.
Minimum elements to be added .
From , we get .
For to be a positive integer, , i.e., .
So .
,
,
,
.
.
For symmetry, requires and requires .
is already symmetric.
Minimum elements to be added .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Sets and Relations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2026, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.