Equation of the locus of the centroid of the triangle whose vertices are `(a cos k, a sin k),(b sin k, -b cos k) and (1,0)` , where k is a perameter, is
A
`(1-3x)^2+9y^2=a^2+b^2`
B
`(3x-1)^2+9y^2=2a^2+b^2`
C
`(3x+1)^2+(3y)^2=a^2+b^2`.
D
`(3x+1)^2+(3y)^2=3a^2 3b^2`.
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The correct Answer is:
A
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