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

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

A

`(pi)/(6)`

B

`(2 pi)/(3)`

C

`(3 pi)/(8)`

D

`(3 pi)/(4)`

Text Solution

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The correct Answer is:
A
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