The locus of the centroid of the triangl...

The locus of the centroid of the triangle with vertices at `(a cos theta, a sin theta),(b sin theta-b cos theta)` and (1,0) is (Here `theta` is a parameter)

A

`(3x-1)^2+9y^2=a^2-b^2`

B

`(3x-1)^2+9y^2=a^2+b^2`

C

`(3x+1)^2+9y^2=a^2-b^2`

D

`(3x+1)^2+9y^2=a^2+b^2`

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The correct Answer is:

B

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