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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) (0 lt theta lt (pi)/(2))` to the ellipse `x^(2) + 27y^(2)=27`, then the least value of the sum of the intercepts on the coordinate axes by this tangent is attained when the value of `theta` is-

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(pi)/(8)`

Text Solution

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The correct Answer is:
B
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