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AP EAMCET2006MathematicsHyperbola

If the eccentricity of a hyperbola is 3 ; then the eccentricity of its conjugate hyperbola is :

Options

  1. A2
  2. B3
  3. C3 2
  4. D2 3

Correct answer

C. 3 2

Step-by-step solution

Let e and e^ are the eccentricities of a hyperbola and its conjugate hyperbola. We know that 1 e^2 + 1 (e^ )^2 =1 1 3 + 1 (e^ )^2 =1 1 (e^ )^2 = 2 3 e^ = 3 2

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