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The open loop transfer function of a system is $G(s)=\frac{s^2+6s+10}{s^2+2s+2}.$ The angles of arrival of its root loci are

  1. $\pm \frac{\pi}{4}$
  2. $\pm \frac{\pi}{3}$
  3. $\pm \frac{\pi}{2}$
  4. $\pm \frac{5\pi}{6}$
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