NIMCET 2008

Question

If $a,b,c$ are the roots of the equation $x^3-3px^2+3qx-1=0$, then the centroid of the triangle with vertices $\left(a,\frac1a\right),\left(b,\frac1b\right),\left(c,\frac1c\right)$ is the point

Accepted Answer

$(p,q)$

Answer

$\left(\dfrac p3,\dfrac q3\right)$

Answer

$(p+q,p-q)$

Answer

$(3p,3q)$

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