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Choose the correct alternative.A pair of...

Choose the correct alternative.A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersects at A enclosing an angle `60^@`.The area enclosed by these tangents and the area of the circle is

A

`(2/sqrt3)-(pi/6)`

B

`sqrt3-pi/3`

C

`pi/3-(sqrt3/6)`

D

`sqrt3(1-pi/6)`

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