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If `alpha, beta gamma` are the real roots of the equation `x^(3)-3px^(2)+3qx-1=0`, then find the centroid of the triangle whose vertices are `(alpha, (1)/(alpha)), (beta, (1)/(beta))` and `(gamma, (1)/(gamma))`.

A

(p, q)

B

(p/3, q/3)

C

(p + q, p -q)

D

(3p, 3q)

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The correct Answer is:
A
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