If the distance between the foci of a hyperbola $H$ is 26 and distance between its directrices is $\frac{50}{13}$ then the eccentricity of the conjugate hyperbola of the hyperbola $H$ is

• Correct answer
  A

  $\frac{13}{12}$
• B

  $\frac{25}{17}$
• C

  $\frac{13}{7}$
• D

  $\frac{25}{13}$

Hence, the correct answer is option: 'A'.