The Nyquist plot of a unity feedback system having open-loop transfer function \(G\left( s \right)H\left( s \right) = \frac{{k\left( {s + 3} \right)\left( {s + 5} \right)}}{{\left( {s - 2} \right)\left( {s - 4\;} \right)}}\) for k = 1 is as shown below.

For the system to be stable the range of values of k is:

1
0 < k < 1.33
2
0 < k < 0.75
3
k < 1.33
4
k > 0.75

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