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TP and TQ are tangents drawn from an ext...

TP and TQ are tangents drawn from an external point `(x_1,y_1)` to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` show that (i) `(ST)^(2)/(SP.SQ)=x^(2)_1/a^(2)+y^(2)_1/b^(2)` (ii) `ST.S'T costheta=(CT)^(2)-a^(2)-b^(2)` where, S and S' are the foci, C the center and theta is the angle between the tangents.

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