JEE Main 2020 — Parabola Question with Solution
From: JEE Main 2020 (Online) 8th January Morning Slot
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 :
Choose an option
Show full solutionCorrect option: D
Correct answer
D9x2 – 12y = 8
Step-by-step explanation
Take point P(2t, t2 ) on parabola x2 = 4y
h = and k =
t = and 3k + 2 = t2
3k + 2 =
9x2 – 12y = 8
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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.