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The centroid of a triangle formed by the...

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

A

`tan^(-1)2`

B

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

C

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

D

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

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The correct Answer is:
D
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