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A tangent is drawn to the ellipse (x^(2)...

A tangent is drawn to the ellipse `(x^(2))/(27)+y^(2)=1` at the point `(3 sqrt(3) cos theta sin theta)` where `0 lt theta lt (pi)/(2)`. The sum of intecepts of the tangents with the coordinates axes is least when `theta` equals

A

`pi/6`

B

`pi/3`

C

`pi/8`

D

`pi/4`

Text Solution

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The correct Answer is:
A
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