JEE Main 2020MathematicsStraight LinesMediumMCQ

JEE Main 2020 — Straight Lines Question with Solution

JEE Main 2020 (07 Jan Shift 2)

Question

The locus of the mid-points of the perpendiculars drawn from points on the line x=2y, to the line x=y, is.

Choose an option

Show full solutionCorrect option: B
Correct answer
B5x-7y=0

Step-by-step explanation


Slope of PQ=k-αh-2α=-1
k-α=-h+2α ⇒α=h+k3  …1
Also, 2h=2α+β and 2k=α+β
2h=α+2k⇒α=2h-2k  …2
From 1 & 2,
h+k3=2h-k
So, locus is 6x-6y=x+y⇒5x=7y.

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About this question

This is a previous-year question from JEE Main 2020, covering the Straight Lines 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.