JEE Main 2021MathematicsParabolaMediumMCQ

JEE Main 2021 — Parabola Question with Solution

JEE Main 2021 (16 Mar Shift 2)

Question

Let C be the locus of the mirror image of a point on the parabola y2=4x with respect to the line y=x. Then the equation of tangent to C at P2,1 is :

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Show full solutionCorrect option: A
Correct answer
Ax-y=1

Step-by-step explanation

Given y2=4x

Mirror image on y=x⇒C : x2=4y

2x=4·dydx⇒dydx=x2

dydxP2,1=22=1

Equation of tangent at 2,1

⇒y-1=1×x-2

⇒x-y=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.