The Nyquist plot of a unity feedback system having open loop transfer function (mathrm{G}(s)=frac{mathrm{K}(s+3)(s+5)}{(s-2)(s-4)}) for (mathrm{K}=1) is

Question:

The Nyquist plot of a unity feedback system having open loop transfer function $\mathrm{G}(s)=\frac{\mathrm{K}(s+3)(s+5)}{(s-2)(s-4)}$ for $\mathrm{K}=1$ is as shown. For the system to be stable, the range of values of $\mathrm{K}$ is
(a) $0(b) \(0(c) \(\mathrm{K}>1.33$
(d) $\mathrm{K}>1 / 1.33$

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