A tangent is drawn at the point (3sqrt3c...

A tangent is drawn at the point `(3sqrt3costheta, sintheta)` for `0ltthetaltpi/2` of an ellipse `x^2/(27)+y^2=1`.The least value of the sum of the intercepts on the coordinate axes by this tangent is attained at `theta` equal to

`(pi)/(6)`

`(2pi)/(3)`

`(3pi)/(8)`

`(3pi)/(4)`

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