JEE Main 2011 — Application Of Derivatives Question with Solution
From: AIEEE 2011
Question
The shortest distance between line and curve is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Shortest distance between two curve occurred along -
the common normal
Slope of normal to at point
is and
slope of line is
As they are perpendicular to each other
and shortest distance
So shortest distance between them is
the common normal
Slope of normal to at point
is and
slope of line is
As they are perpendicular to each other
and shortest distance
So shortest distance between them is
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This is a previous-year question from JEE Main 2011, 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.