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Let a tangent be drawn to the ellipse x^...

Let a tangent be drawn to the ellipse `x^2/(27) +y^2=1" at "(3sqrt3 cos theta, sin theta)," where "theta in (0,pi/2)`, Then the value of `theta` such that the sum of intercepts on axes made by this tangent is minimum is equal to :

A

`pi/6`

B

`pi/8`

C

`pi/4`

D

`pi/3`

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