JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 8th April Morning Shift
Question
Let be the focus of the parabola and the line intersect the parabola at two points and .
Let the point be the centroid of the triangle . If , then is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B325
Step-by-step explanation
Put value of
Since, centroid
From (1),
Also,
Now, the equation is :
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This is a previous-year question from JEE Main 2023, 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.