JEE Main 2024MathematicsApplication Of DerivativesMonotonicitymediumMCQ

JEE Main 2024Application Of Derivatives Question with Solution

From: JEE Main 2024 (Online) 29th January Morning Shift

Question

Consider the function defined by . Consider the statements

(I) The curve intersects the -axis exactly at one point.

(II) The curve intersects the -axis at .

Then

Choose an option

Show full solutionCorrect option: A
Correct answer
ABoth (I) and (II) are correct.

Step-by-step explanation

is correct.

Let ,

(4) is correct.

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About this question

This is a previous-year question from JEE Main 2024, covering the Application Of Derivatives 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.