JEE Main 2020MathematicsStraight LinesEasyMCQ

JEE Main 2020 — Straight Lines Question with Solution

JEE Main 2020 (04 Sep Shift 2)

Question

If the perpendicular bisector of the line segment joining the points P(1,4) and Q(k,3) has y-intercept equal to -4, then a value of k is;

Choose an option

Show full solutionCorrect option: B
Correct answer
B-4

Step-by-step explanation

Mid point of PQ is k+12,72
And slope of PQ=11-k
So equation of perpendicular bisector of PQ

y-72=(k-1)x-k+12
It's y intercept =-4. So, this equation must satisfy 0,-4.

⇒-152=-k2-12
k2=16⇒k=±4

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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.