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MHT CET202122 Sep 2021Morning ShiftMathematicsStraight LinesActual

The equation of perpendicular bisector of the line segment joining A (-2,3) and B (6,-5) is

Options

  1. Ax+y=3
  2. Bx+y=1
  3. Cx-y=-1
  4. Dx-y=3

Correct answer

D. x-y=3

Step-by-step solution

Slope of line AB = -5-3 6+2 = -8 3 =-1 Mid point of AB = -2+6 2 , 3-5 2 =(2,-1) Equation of perpendicular bisector AB is ( y +1)=1( x -2) i.e. x-y=3

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