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If $\alpha,\beta,\gamma$ are the roots of $x^3-2x^2+3x-4=0,$ then the value of $\alpha^2\beta^2+\beta^2 \gamma^2+\gamma^2 \alpha^2$ is

\[\begin {array} {1 1} (a)\;-7 & \quad (b)\;-5 \\ (c)\;-3 & \quad (d)\;0 \end {array}\]

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(a) -7
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