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The centroid of a triangle formed by the...

The centroid of a triangle formed by the points `(0,0), (costheta , sin theta)` and `(sin theta , -cos theta)` lie on the line `y = 2x` , then `theta` is

A

`tan^(-1) 2`

B

`tan^(-1) (1/3)`

C

`tan^(-1) (1/2)`

D

`tan^(-1) -3`

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