JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 18th March Evening Shift
Question
Let a tangent be drawn to the ellipse at where . Then the value of such that the sum of intercepts on axes made by this tangent is minimum is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Tangent =
x-intercept = sec
y-intercept = cosec
sum = sec + cosec = f()
f'() = sectan cosec cot = 0
=
also f'() changes sign to + hence minimum.
x-intercept = sec
y-intercept = cosec
sum = sec + cosec = f()
f'() = sectan cosec cot = 0
=
also f'() changes sign to + hence minimum.
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This is a previous-year question from JEE Main 2021, covering the Ellipse 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.