Locus of centroid of the triangle whose...

Locus of centroid of the triangle whose vertices are `(a cos t, a sin t), (b sin t, -b cos t)` and (1, 0), where t is a parameter, is :

A

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

B

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

C

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

D

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

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The correct Answer is:

B

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