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MHT CET202122 Sep 2021Evening ShiftMathematicsCircleActual

Two circles centered at (2,3) and (4,5) intersects each other. If their radii are equal, then the equation of the common chord is

Options

  1. Ax+y+1=0
  2. Bx+y-1=0
  3. Cx+y-7=0
  4. Dx+y+7=0

Correct answer

C. x+y-7=0

Step-by-step solution

Equation of common chord is S₁-S₂=0 , where S₁ and S₂ are equations of the circles aligned & [( x -2)^2+( y -3)^2 ]- [( x -4)^2+( y -5)^2 ]=0 & -4 x +4-6 y +9+8 x -16+10 y -25=0 & 4 x +4 y -28=0 x + y =7 aligned

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