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AP EAMCET202422 May 2024Evening ShiftMathematicsCircleActual

Angle between the circles x^2+y^2-4 x-6 y-3=0 and x^2+y^2+8 x-4 y+11=0 is

Options

  1. A3
  2. B6
  3. C2
  4. D4

Correct answer

A. 3

Step-by-step solution

aligned & S ₁ x^2+y^2-4 x-6 y-3=0 & ~S ₂ x^2+y^2+8 x-4 y-11=0 & (g₁, f₁, c₁ )=(-2,-3,-3) and (g₂, f₂, c₂ )=(4,-2,11) aligned Angle between two circles is given by aligned & = |2 g₁ g₂+2 f₁ f₂-c₁-c₂ | 2 (g₁^2+f₁^2-c₁ ) (g₂^2+f₂^2-c₂ ) & = |-16+12+3-11| 2 16 9 = |-12| 2 144 = 1 2 = 3 aligned

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