JEE Main 2013 — Sets and Relations Question with Solution
JEE Main 2013 (22 Apr Online)
Question
Let , be a relation on the . Then, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dreflexive, transitive but not symmetric.
Step-by-step explanation
Let , be a relation on set
Clearly, every element of is related to itself. Therefore, it is a reflexive.
Now, is not symmetry because 3 is related to 5 but 5 is not related to 3 .
Also is transitive relation because it satisfies the property that if and then .
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This is a previous-year question from JEE Main 2013, 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.