JEE Main 2026 — Sets and Relations Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
The number of relations, defined on the set , which are both reflexive and symmetric, is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C64
Step-by-step explanation
For a set with elements, reflexive condition requires all diagonal pairs to be included.
For symmetric relations, non-diagonal pairs come in symmetric pairs. Number of such pairs = .
For each pair, we either include both elements or exclude both → 2 choices each.
Total reflexive and symmetric relations = .
For symmetric relations, non-diagonal pairs come in symmetric pairs. Number of such pairs = .
For each pair, we either include both elements or exclude both → 2 choices each.
Total reflexive and symmetric relations = .
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.