JEE Main 2021MathematicsParabolaMediumMCQ

JEE Main 2021 — Parabola Question with Solution

JEE Main 2021 (16 Mar Shift 1)

Question

If the three normals drawn to the parabola, y2=2x pass through the point a,0, a≠0, then a must be greater than :

Choose an option

Show full solutionCorrect option: D
Correct answer
D1

Step-by-step explanation

Let the equation of the normal be y=mx-2am-am3

Here 4a=2

a=12

y=mx-m-12m3

It passes through A(a, 0) then

0=am-m-12m3

m=0,m2-2(a-1)=0

For real values of m

2(a-1)>0

⇒a>1

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About this question

This is a previous-year question from JEE Main 2021, covering the Parabola 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.