JEE Main 2021 — Sets And Relations Question with Solution
From: JEE Main 2021 (Online) 27th July Evening Shift
Question
Let N be the set of natural numbers and a relation R on N be defined by . Then the relation R is :
Choose an option
Show full solutionCorrect option: B
Correct answer
Breflexive but neither symmetric nor transitive
Step-by-step explanation
Now, x = y (x, y) N N so reflexive but not symmetric & transitive.
See, (3, 1) satisfies but (1, 3) does not. Also (3, 1) & (1, 1) satisfies but (3, 1) does not.
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This is a previous-year question from JEE Main 2021, 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.