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Manipal MET2011MathematicsHyperbola

The distance between the foci of a hyperbola is double the distance between its vertices and the length of its conjugate axis is 6 .The equation of the hyperbola referred to its axes as axes of coordinates are

Options

  1. A3 x^2-y^2=3
  2. Bx^2-3 y^2=3
  3. C3 x^2-y^2=9
  4. Dx^2-3 y^2=9

Correct answer

C. 3 x^2-y^2=9

Step-by-step solution

According to given condition, 2 a e=2 2 a e=2 and 2 b=6 b=3 Hence, a= 3 3 = 3 Required equation is aligned & x^2 3 - y^2 9 =1 & 3 x^2-y^2=9 aligned

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