JEE Main 2022 — Functions Question with Solution
From: JEE Main 2022 (Online) 28th July Morning Shift
Question
For , consider the real valued function and . Let , and be in an arithmetic progression with mean and positive common difference. If for all , then the absolute difference between the roots of is ___________.
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Show full solutionCorrect answer: 50
Step-by-step explanation
and
Where
and ..... (i)
either
not acceptable
..... (ii)
Roots of are and
absolute difference between roots
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This is a previous-year question from JEE Main 2022, 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.