JEE Main 2020MathematicsEllipseMediumMCQ

JEE Main 2020 — Ellipse Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

Let the line y=mx and the ellipse 2x2+y2=1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes at -132,0 and 0,β, then β is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D23

Step-by-step explanation

Let P be x1,y1

Equation of normal at P is x2x1-yy1=-12

It passes through

-132, 0⇒-162x1=-12⇒x1=132

So, y1=223 (as P lies in Ist quadrant)

So, β=y12=23

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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.