JEE Main 2013 — Sets and Relations Question with Solution
JEE Main 2013 (23 Apr Online)
Question
Let and , where is the set of all natural numbers. Then the relation is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dreflexive and transitive.
Step-by-step explanation
and
Now,
or
,
Since are present in the relation, therefore is reflexive.
Since is an element of but is not the element of , therefore is not symmetric
Here and and
For all such and
Hence is transitive.
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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.