Tangent is drawn to ellipse (x^(2))/(27)...

Tangent is drawn to ellipse `(x^(2))/(27) + y^(2) = "1 at" (3 sqrt(3) cos theta, sin theta)` [where `theta in (0, pi//2)`]. Then the value of `theta` such that sum of intercepts on axes made by this tangent is minimum, is

A

a) `pi//3`

B

b) `pi//6`

C

c) `pi//8`

D

d) `pi//4`

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The correct Answer is:

B

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