JEE Main 2023 — Sets And Relations Question with Solution
From: JEE Main 2023 (Online) 31st January Morning Shift
Question
Let be a relation on defined by if and only if . Then is
Choose an option
Show full solutionCorrect option: D
Correct answer
Dsymmetric but neither reflexive nor transitive
Step-by-step explanation
Given,
Symmetric :
(c, d)
Symmetric.
Reflexive :
(a, b) R (a, b)
Not reflexive.
Transitive :
and but
Not transitive.
Symmetric :
(c, d)
Symmetric.
Reflexive :
(a, b) R (a, b)
Not reflexive.
Transitive :
and but
Not transitive.
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This is a previous-year question from JEE Main 2023, 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.