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A tangent is drawn to the ellipse (x^2)/...

A tangent is drawn to the ellipse `(x^2)/(27)+y^2=1` at `(3sqrt(3)costheta(0,pi/2)dot` Then find the value of `theta` such that the sum of intercepts on the axes made by this tangent is minimum.

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A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta, sin theta) where theta epsilon(0,pi/2)dot Then find the value of theta such that the sum of intercepts on the axes made by this tangent is minimum.

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