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JEE Main202117 Mar 2021Morning ShiftMathematicsStraight LinesActual

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

Options

  1. A– 1 ,   0
  2. B– 2 ,   – 2
  3. C0 ,   2
  4. D1 ,   4

Correct answer

B. – 2 ,   – 2

Step-by-step solution

Perpendicular bisector of P R is 2 x - y + 2 = 0 Midpoint of P Q is M 1 , 1 Equation of perpendicular bisector of P Q is y = x . Point of intersection of equations P R and P Q is circumcentre. So, circumcentre is - 2 , - 2

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