Let $L L^{\prime}$ be the latus rectum through the focus $S$ of a hyperbola and $A^{\prime}$ be the opposite vertex of the hyperbola. If triangle $A^{\prime} L L^{\prime}$ is equilateral, then the eccentricity of the hyperbola is

• Correct answer
  A

  $\frac{\sqrt{3}+1}{\sqrt{3}}$
• B

  $\frac{\sqrt{3}+1}{\sqrt{2}}$
• C

  $\frac{\sqrt{3}+1}{\sqrt{5}}$
• D

  $\sqrt{3}+1$

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