JEE Main 2020MathematicsEllipseEasyMCQ

JEE Main 2020Ellipse Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, x24+y22=1 from any of its foci?
 

Choose an option

Show full solutionCorrect option: C
Correct answer
C(-1,3)

Step-by-step explanation

Foot of perpendicular from focus upon any tangent lies on auxiliary circle 

So equation of locus is: x2+y2=4

Now verify option

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About this question

This is a previous-year question from JEE Main 2020, 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.