The open-loop transfer function of a control system is given by [ frac{mathrm{K}(s+10)}{s(s+2)(s+a)} ] The smallest possible

Question:

The open-loop transfer function of a control system is given by

\[
\frac{\mathrm{K}(s+10)}{s(s+2)(s+a)}
\]

The smallest possible value of ' $a$ ' for which this system is stable in the closed-loop for positive values of $\mathrm{K}$ is
(a) 0
(b) 8
(c) 10
(d) 12

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