JEE Main 2021MathematicsFunctionsDomainmediumMCQ

JEE Main 2021Functions Question with Solution

From: JEE Main 2021 (Online) 18th March Morning Shift

Question

The real valued function
, where [x] denotes the greatest integer less than or equal to x, is defined for all x belonging to :

Choose an option

Show full solutionCorrect option: B
Correct answer
Ball non-integers except the interval [ 1, 1 ]

Step-by-step explanation

Domain of :



and,





Required domain =

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About this question

This is a previous-year question from JEE Main 2021, covering the Functions 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.