JEE Main 2015MathematicsApplication Of DerivativesMaxima And MinimamediumMCQ

JEE Main 2015 — Application Of Derivatives Question with Solution

From: JEE Main 2015 (Offline)

Question

Let be a polynomial of degree four having extreme values
at and . If , then f is equal to :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation



So, contains terms in and

Let

Since

Hence,



As given: and

Hence,

and

By we get





and by eqn.



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About this question

This is a previous-year question from JEE Main 2015, 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.