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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 1) and (1, 0), where 't' is a parameter, is :

A

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

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The correct Answer is:
A
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