If \( P \) be any point on ellipse \( 3 x^{2}+4 y^{2}=12 \). If \( S \) and \( S^{2} \) are its ....

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If \( P \) be any point on ellipse \( 3 x^{2}+4 y^{2}=12 \). If \( S \) and \( S^{2} \)
\( \mathrm{P} \)
are its foci then locus of the centroid of triangle PSS'
W
is
(1) \( \frac{9 x^{2}}{4}+3 y^{2}=1 \)
(2) \( 4 x^{2}+3 y^{2}=12 \)
(3) \( 3 x^{2}+4 y^{2}=1 \)
(4) none of these



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