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COMEDK2013MathematicsHyperbola

The equation of the director circle of the hyperbola x² 16 - y² 4 =1 is given by

Options

  1. Ax²+y²=16
  2. Bx²+y²=4
  3. Cx²+y²=20
  4. Dx²+y²=12

Correct answer

D. x²+y²=12

Step-by-step solution

Equation of director circle of hyperbola, x² a² - y² b² =1 is x²+y²=a²-b² Hence, director circle of x² 16 - y² 4 =1 is x²+y²=16-4 x²+y²=12

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