JEE Main 2026 — Parabola Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let be the parabola with its vertex at O. Let P be a point on the parabola and A be a point on the -axis such that . Then the locus of the centroid of such triangles OPA is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Parabola , . Let , , .
:
.
Centroid .
Let : , .
Locus: .
:
.
Centroid .
Let : , .
Locus: .
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This is a previous-year question from JEE Main 2026, 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.