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AP EAMCET2010MathematicsCircle

The equation of the radical axis of the pair of circles 7 x^2+7 y^2-7 x+14 y+18=0 and 4 x^2+4 y^2-7 x+8 y+20=0 is

Options

  1. Ax-2 y-5=0
  2. B2 x-y+5=0
  3. C21 x-68=0
  4. D23 x-68=0

Correct answer

C. 21 x-68=0

Step-by-step solution

Let S₁ x^2+y^2-x+2 y+ 18 7 =0 and S₂ x^2+y^2- 7 4 x+2 y+5=0 Now, the radical axis of the pair of circles are S₁-S₂=0 (x^2+y^2-x+2 y+ 18 7 )- (x^2+y^2- 7 4 x+2 y+5 )=0 -x+ 7 4 x+ 18 7 -5=0 -x+ 7 4 x- 17 7 =0 -28 x+49 x-68=0 21 x-68=0

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