JEE Main 2015MathematicsParabolaMediumMCQ

JEE Main 2015 — Parabola Question with Solution

JEE Main 2015 (11 Apr Online)

Question

If PQ be a double ordinate of the parabola, y2=-4x, where P lies in the second quadrant. If R divides PQ in the ratio 2:1, then the locus of R is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C9y2=-4x

Step-by-step explanation

Let P-t2,2t & Q-t2,-2t

R divides in the ratio 2:1

-2t2-t22+1,-4t+2t2+1

-t2,23t

x=-t2

y=-23t 

∴ 9y2=4t2

⇒9y2=-4x

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About this question

This is a previous-year question from JEE Main 2015, 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.