One of the latus recta of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ subtends an angle $2 \operatorname{Tan}^{-1}\left(\frac{3}{2}\right)$ at the centre of the hyperbola. If $\mathrm{b}^2=36$ and e is the eccentricity of the given hyperbola, then $\sqrt{\mathrm{a}^2+\mathrm{e}^2}=$

• Correct answer
  A

  $4$
• B

  $\sqrt{14}$
• C

  $6$
• D

  $\sqrt{21}$

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