The locus of the centroid of the triangle with vertices at `(acostheta,asintheta)`, `(bsintheta-bcostheta)` and `(1,0)` is (here, `theta` is a parameter)

Locus of centroid of the triangle whose vertices are (acostheta,asintheta),(bsintheta,-bcostheta) and (2,0) where theta is a parameter is

Prove that the locus of the 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 circle.

Prove that the locus of the centroid of the triangle whose vertices are (acost ,asint),(bsint ,-bcost), and (1,0) , where t is a parameter, is circle.

Prove that the locus of the centroid of the triangle whose vertices are (acost ,asint),(bsint ,-bcost), and (1,0) , where t is a parameter, is circle.

Prove that the locus of the centroid of the triangle whose vertices are (acost ,asint),(bsint ,-bcost) and (1,0) , where t is a parameter, is circle.

Prove that the locus of the centroid of the triangle whose vertices are (acost ,asint),(bsint ,-bcost), and (1,0) , where t is a parameter, is circle.

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

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