If the centroid of the triangle formed by the points A(a, b), B(b, c) and C(c, a) is at the origi...

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If the centroid of the triangle formed by the points A(a, b), B(b, c) and C(c, a) is at the origin. What is the value of a^2/b c+b^2/c a+c^2/a b ?

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