The distance of the center of ellipse $x^2+2y^2-2=0$ to these tangent of the ellipse which are equally inclined from both the axis , is

Question

$\begin{array}{1 1} \large\frac{3}{\sqrt 2} \\ \sqrt{\large\frac{3}{2}} \\ \sqrt{\large\frac{2}{3}} \\ \large\frac{\sqrt 3}{2} \end{array} $