JEE Main 2021MathematicsStraight LinesEasyMCQ

JEE Main 2021 — Straight Lines Question with Solution

JEE Main 2021 (17 Mar Shift 1)

Question

In a triangle PQR, the co-ordinates of the points P and Q are -2,4 and 4,-2 respectively. If the equation of the perpendicular bisector of PR is 2x-y+2=0, then the centre of the circumcircle of the ΔPQR is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B–2, –2

Step-by-step explanation

Perpendicular bisector of PR is 2x-y+2=0 

Midpoint of PQ is M1,1

Equation of perpendicular bisector of PQ is y=x.

Point of intersection of equations PR and PQ is circumcentre.

So, circumcentre is -2,-2

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About this question

This is a previous-year question from JEE Main 2021, 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.