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From an external point P Tangents are dr...

From an external point P Tangents are drawn to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` and these tangents makes angles `theta_(1),theta_(2)` with the axis such that `cot theta_(1)+cot theta_(2)=K` .Then show that all such P lies on the curve `2xy=K(y^(2)-b^(2))`

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