Let S and S' be two foci of the ellipse $\frac{{\mathrm{x}}^2}{{\mathrm{a}}^2}+\frac{{\mathrm{y}}^2}{{\mathrm{b}}^2}=1$ If a circle described on SS' as diameter intersects the ellipse at real and distinct points, then the eccentricity e of the ellipse satisfies

• A

  $\mathrm{e}=\frac{{\displaystyle 1}}{\sqrt{2}}$

• B

  $\mathrm{e}\in \left(\frac{{\displaystyle 1}}{\sqrt{2}},1\right)$

• C

  $\mathrm{e}\in \left(0,\frac{{\displaystyle 1}}{\sqrt{2}}\right)$

• D

  none of these