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A tangent is drawn at (3sqrt(3) cos thet...

A tangent is drawn at `(3sqrt(3) cos theta, sin theta) (0 lt theta lt pi/2)` to the ellipse `x^(2)/27+y^(2)/1=1`. The value of `theta` for which the sum of the intercepts on the coordinate axes made by this tangent attains the minimum, is

A

`pi/6`

B

`pi/3`

C

`(2pi)/3`

D

`(2 pi)/4`

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The correct Answer is:
A
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