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The minimum area of the triangle formed by the tangent to the ellipse `(x^(2))/(16) + (y^(2))/(9) =1` and the co-ordinate axes is

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If the minimum area of the triangle formed by a tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(4a^(2))=1 and the co-ordinate axis is kab, then k is equal to ____________.

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