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Prove that the chord of contact of tange...

Prove that the chord of contact of tangents drawn from the point (h,k) to the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` will subtend a right angle at the centre, if `h^(2)/a^(4)+k^(2)/b^(4)=1/a^(2)+1/b^(2)`

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