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Tangent is drawn to ellipse `(x^2)/(27)+y^2=1` at `(3sqrt(3)costheta,sintheta)` [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) `pi/3` (b) `pi/6` (c) `pi/8` (d) `pi/4`

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`(pi)/(8)`

D

`(pi)/(4)`

Text Solution

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The correct Answer is:
B
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