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Show that the point o f intersection of the tangents to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = l( a gt b)` which are inclined at an angle `theta`, and `theta_(2)` with its major axis such that `cot theta_(1), + cot theta_(2), = k^(2)` lies on the curve `k^(2) (y^(2) ~-b^(2))= 2xy` .

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