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AP EAMCET2001MathematicsCircle

The radical axis of circles x^2+y^2+5 x+4 y-5=0 and x^2+y^2-3 x+5 y-6=0 is

Options

  1. A8 y-x+1=0
  2. B8 x-y+1=0
  3. C8 x-8 y+1=0
  4. Dy-8 x+1=0

Correct answer

B. 8 x-y+1=0

Step-by-step solution

Let S₁ x^2+y^2+5 x+4 y-5=0 and S₂=x^2+y^3-3 x+5 y-6=0 The radical axis is S₁-S₃=0 array rrr & (x^2+y^2+5 x+4 y-5 ) & - (x^2+y^2-3 x+5 y-6 )=0 & 5 x+3 x+4 y-5 y-5+6=0 & 8 x-y+1=0 array

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