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AP EAMCET202421 May 2024Morning ShiftMathematicsHyperbolaActual

The equation of the pair of asymptotes of the hyperbol 4 x^2-9 y^2-24 x-36 y-36=0 is

Options

  1. A2 x^2-x y-3 y^2-14 x-9 y-12=0
  2. B2 x^2-x y-3 y^2-2 x+3 y=0
  3. C2 x^2-5 x y+3 y^2-22 x-27 y+60=0
  4. D4 x^2-9 y^2-24 x-36 y=0

Correct answer

D. 4 x^2-9 y^2-24 x-36 y=0

Step-by-step solution

aligned & 4 x^2-9 y^2-24 x-36 y-36=0 & (2 x-6)^2-(3 y+6)^2=36 & (x-3)^2 9 - (y+2)^2 4 =1 aligned Equation of asymptotes (x-3)^2 9 - (y+2)^2 4 =0 4 x^2-9 y^2-24 x-36 y=0

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