JEE Main 2005 — Application Of Derivatives Question with Solution
From: AIEEE 2005
Question
The normal to the curve
at any point
is such that
at any point
is such that
Choose an option
Show full solutionCorrect option: D
Correct answer
Dit is at a constant distance from the origin
Step-by-step explanation
From equations and we get
Slope of normal
Equation of normal at
is
Clearly this is an equation of straight line -
which is at a constant distance from origin.
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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.