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JEE Main201911 Jan 2019Evening ShiftMathematicsHyperbolaActual

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is:

Options

  1. A13 12
  2. B2
  3. C13 6
  4. D13 8

Correct answer

A. 13 12

Step-by-step solution

Conjugate axis =5 2 b=5 Distance betwecn foci =132 a e=13 Then, b²=a² (e²-1 ) a²=36 a=6a e= 13 2 e= 13 12

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