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Statement 1:A(0,0),B(cos x, sin x),C(-si...

Statement 1:A(0,0),B(cos x, sin x),C(-sin x, cos x) are vertices of a triangle then the locus of the centroid of triangle is `9x^2+9y^2=4`
Statement II : The locus of the point (acos x, bsin x) is `x^(2)/a^(2)+y^(2)/b^(2)=1` . Which of the above statement is correct:

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