JEE Main 2020MathematicsParabolaHardMCQ

JEE Main 2020 — Parabola Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

The locus of a point which divides the line segment joining the point 0,-1 and a point on the parabola x2=4y internally in the ratio 1:2 is:

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Show full solutionCorrect option: A
Correct answer
A9x2-12y=8

Step-by-step explanation

Let point P be 2t, t2 and Q be h, k .
h=2t3, k=-2+t23
Hence, locus is 3k+2=3h2s2⇒9x2=12y+8

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About this question

This is a previous-year question from JEE Main 2020, 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.