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Question: Answered & Verified by Expert
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:
MathematicsStraight LinesJEE MainJEE Main 2021 (17 Mar Shift 1)
Options:
  • A 1, 0
  • B 2, 2
  • C 0, 2
  • D 1, 4
Solution:
1397 Upvotes Verified Answer
The correct answer is: 2, 2

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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