JEE Main 2007MathematicsApplication Of DerivativesMean Value TheoremmediumMCQ

JEE Main 2007Application Of Derivatives Question with Solution

From: AIEEE 2007

Question

A value of for which conclusion of Mean Value Theorem holds for the function on the interval is

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

Using Lagrange's Mean Value Theorem

Let be a function defined on

then,



Given



equation become



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About this question

This is a previous-year question from JEE Main 2007, 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.