Statement: I  Let $P_i and {P_i}^1$ be the feet of perpendicular drawn from foci S,S¹ on a tangent to an ellipse whose length of semi major axis is 20 and $\sum _{\mathrm{i}=1}^{10}$$\left(\mathrm{SPi}\right)\left({\mathrm{S}}^1{\mathrm{Pi}}^1\right)=1960,$ the value  of eccentricity is $\frac{3}{4}$
Statement :II  The product of perpendiculars from foci to any tangent of an ellipse $\frac{{\mathrm{x}}^2}{{\mathrm{a}}^2}+\frac{{\mathrm{y}}^2}{{\mathrm{b}}^2}=1 \mathrm{is} {\mathrm{b}}^2.$