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[" 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 "],[[" (a) "(3x+1)^(2)+(3y)^(2)=a^(2)-b^(2),|2003|],[" (b) "(3x-1)^(2)+(3y)^(2),=a^(2)-b^(2)],[" (c) "(3x-1)^(2)+(3y)^(2),=a^(2)+b^(2)],[" (d) "(3x+1)^(2)+(3y)^(2),=a^(2)+b^(2)]]

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