$\text{ If the tangent at any point of an ellipse }\frac{{\mathrm{x}}^2}{{\mathrm{a}}^2}+\frac{{\mathrm{y}}^2}{{\mathrm{b}}^2}=1\text{, where }\mathrm{a}>\mathrm{b}\text{, makes angle of }$

$\text{ inclinations }\mathrm{\alpha }=\frac{5\mathrm{\pi }}{6}\text{, with the major axis and angle }\mathrm{\beta }=\frac{\mathrm{\pi }}{3}\text{ with the focal radius of }$

$\text{ the point of contact then the eccentricity e of the ellipse is }$

• A

  $\frac{2}{\sqrt{3}}$

• B

  $\frac{1}{\sqrt{2}}$

• C

  $\frac{1}{\sqrt{3}}$

• D

  $\frac{\sqrt{2}}{\sqrt{3}}$