JEE Main 2019 — Parabola Question with Solution
From: JEE Main 2019 (Online) 12th January Morning Slot
Question
Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of PXQ is maximum. Then this maximum area (in sq. units) is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
y2 = 4x
2yy' = 4
y ' =
Area = {1 \over 2}\left| {\matrix{ {{1 \over 4}} & 1 & 1 \cr 9 & 6 & 1 \cr 4 & { - 4} & 1 \cr } } \right| = {{225} \over 4}
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This is a previous-year question from JEE Main 2019, 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.