JEE Main 2018 — Sets and Relations Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
Consider the following two binary relations on the set , and , (c, a), (a, a), (b, b), (a, c). Then
Choose an option
Show full solutionCorrect option: A
Correct answer
A is symmetric but it is not transitive
Step-by-step explanation
Both and are symmetric as For any , we have and similarly for Now, for but . Similarly, for but .
Therefore, neither nor is transitive.
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This is a previous-year question from JEE Main 2018, 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.