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AP EAMCET201823 Apr 2018Morning ShiftMathematicsHyperbolaActual

If the eccentricity of a hyperbola is 5 3 , then the eccentricity of its conjugate hyperbola is

Options

  1. A5 3
  2. B5 4
  3. C5 2
  4. D8 5

Correct answer

B. 5 4

Step-by-step solution

Eccentricity of given hyperbola = 5 3 Let, eccentricity of its conjugate hyperbola =e So, 1 ( 5 3 )^2 + 1 e^2 =1 9 25 + 1 e^2 =1 1 e^2 =1- 9 25 1 e^2 = 16 25 e^2= 25 16 e= 5 4 Hence, eccentricity of conjugate hyperbola = 5 4

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