JEE Main 2022MathematicsParabolaMediumNumerical

JEE Main 2022 — Parabola Question with Solution

JEE Main 2022 (24 Jun Shift 2)

Question

Let P1 be a parabola with vertex 3,2 and focus 4,4 and P2 be its mirror image with respect to the line x+2y=6. Then the directrix of P2 is x+2y= _____.

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Show full solutionCorrect answer: 10
Correct answer
10

Step-by-step explanation

Plotting the diagram as per given data we get,

P1: Directrix

x+2y=k

x+2y-k=0

3+4-K5=5

7-k=5

7-K=57-K=-5k=2k=12AcceptedRejected Passes through focus

D1=x+2y=2=x+2y=6D2=x+2y=C⇒d⇒d⇒c=10

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About this question

This is a previous-year question from JEE Main 2022, 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.