JEE Main 2023MathematicsParabolaLocusmediumMCQ

JEE Main 2023 — Parabola Question with Solution

From: JEE Main 2023 (Online) 30th January Evening Shift

Question

The parabolas : and intersect on the line . If are positive real numbers and are in G.P., then :

Choose an option

Show full solutionCorrect option: A
Correct answer
A are in A.P.

Step-by-step explanation

Let point of intersection be ()

..... (i)

and .... (ii)

( )

Put the value of in (ii),

are in A.P.

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About this question

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.