JEE Main 2005MathematicsApplication Of DerivativesMean Value TheoremeasyMCQ

JEE Main 2005 — Application Of Derivatives Question with Solution

From: AIEEE 2005

Question

If the equation
has a positive root , then the equation
has a positive root, which is

Choose an option

Show full solutionCorrect option: B
Correct answer
Bsmaller than

Step-by-step explanation

Let

The other given equation,



Given

Again has root



By Roll's theorem has root be-

tween

Hence has a positive root smaller than

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About this question

This is a previous-year question from JEE Main 2005, 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.