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[" Itlustration "11" The vertices of a t...

[" Itlustration "11" The vertices of a triangle are "(pq,(1)/(pq)),(qr,(1)/(qr))" and "(rp,(1)/(rp))" where "p,q" and "r" are the roots of the equation "],[y^(3)-3y^(2)+6y+1=0." Find the coordinates of its centroid."],[" Solution "]

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The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are

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