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The Nyquist plot of a stable open-loop system $G (j \omega)$ is plotted in the frequency range $0 \leq \omega < \infty$ as shown. It is found to intersect a unit circle with center at the origin at the point $P = – 0.77 – 0.64j.$ The points $Q$ and $R$ lie on $G (j \omega)$ and assume values $Q = 14.40 + 0.00j$ and $R = – 0.21 + 0.00j.$ The phase margin $\text{(PM)}$ and the gain margin $\text{(GM)}$ of the system are __________

  1. $\text{PM} = 39.7^{\circ}$ and $\text{GM} = 4.76$
  2. $\text{PM} = 39.7^{\circ}$ and $\text{GM} = 0.07$
  3. $\text{PM} = – 39.7^{\circ}$ and $\text{GM} = 4.76$
  4. $\text{PM} = – 39.7^{\circ}$ and $\text{GM} = 0.07$
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