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AP EAMCET · Maths · Circle

The equation of the common chord of the circles \(x^2+y^2+2 x+3 y+1=0\) and \(x^2+\) \(y^2-5 x-6 y+4=0\) is

  1. A \(3 x-3 y+5=0\)
  2. B \(7 y+9 x-3=0\)
  3. C \(7 x-9 y+3=0\)
  4. D \(7 x+9 y-3=0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(7 x+9 y-3=0\)

Step-by-step Solution

Detailed explanation

\(S_1 - S_2 = 0\) \((x^2+y^2+2 x+3 y+1) - (x^2+y^2-5 x-6 y+4) = 0\) \(7x + 9y - 3 = 0\)