A type-2 system has its transfer function for open loop represented by [ G(s) mathrm{H}(s)=frac{4(1+s)}{s^{2}(1+0.1 s)} text

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A type-2 system has its transfer function for open loop represented by

\[ G(s) \mathrm{H}(s)=\frac{4(1+s)}{s^{2}(1+0.1 s)} \text { in the } s \text { - plane. } \]

Nyquist plot shows that there are no poles within the path of values of \(s\). It further shows that there is no encirclement of \(-1+j \cdot 0\). Then what is the number of zeros of the said plot?

(a) 1

(b) 0

(c) 2

(d) 3 .

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