JEE Main 2004 — Application Of Derivatives Question with Solution
From: AIEEE 2004
Question
A function has a second order derivative If its graph passes through the point and at that point the tangent to the graph is , then the function is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Inegrating,
we get
Slope at
As slope of tangent at is
Inegrating again, we get
The curve passes through
we get
Slope at
As slope of tangent at is
Inegrating again, we get
The curve passes through
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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.