JEE Main 2021 — Parabola Question with Solution
From: JEE Main 2021 (Online) 1st September Evening Shift
Question
Consider the parabola with vertex and the directrix . Let P be the point where the parabola meets the line . If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)2 is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
.... (1)
For
Now,
At
Equation of normal is
Now put y in equation (1)
&
Q(2, 3)
Now,
Option (b)
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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.