JEE Main 2014 — Ellipse Question with Solution
From: JEE Main 2014 (Offline)
Question
The locus of the foot of perpendicular drawn from the centre of the ellipse on any tangent to it is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given of ellipse can be written as
Now, equation of any variable tangent is
where is slope of the tangent
So, equation of perpendicular line drawn-
from center to tangent is
Eliminating we get
Now, equation of any variable tangent is
where is slope of the tangent
So, equation of perpendicular line drawn-
from center to tangent is
Eliminating we get
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This is a previous-year question from JEE Main 2014, 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.