JEE Main 2004 — Application Of Derivatives Question with Solution
From: AIEEE 2004
Question
If , then at least one root of the equation
lies in the interval
lies in the interval
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let us define a function
Being polynomial, it is continuous and differentiable, also,
and
(given)
satisfies all conditions of Rolle's theorem
therefore has a root in
i.e. has at lease one root in
Being polynomial, it is continuous and differentiable, also,
and
(given)
satisfies all conditions of Rolle's theorem
therefore has a root in
i.e. has at lease one root in
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This is a previous-year question from JEE Main 2004, 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.