JEE Main 2020MathematicsEllipseMediumMCQ

JEE Main 2020Ellipse Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity e of the ellipse satisfies :

Choose an option

Show full solutionCorrect option: C
Correct answer
Ce4+e2-1=0

Step-by-step explanation

Equation of normal at ae,b2a

a2xae-b2yb2/a=a2-b2

it passes through (0,-b)

ab=a2e2

a2b2=a4e4        b2=a2(1-e2

1-e2=e4

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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.