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Consider the points $s_{1}=-3+j 4$ and $s_{2}=-3-j 2$ in the $s$-plane. Then, for a system with the open-loop Transfer function

\[G(s) H(s)=\frac{K}{(s+1)^{4}}\]

  1. $s_{1}$ is on the root locus,but not $s_{2}$
  2. $s_{2}$ is on the root locus, but not $s_{1}$
  3. both $s_{1}$ and $s_{2}$ are on the root locus
  4. neither $s_{1}$ nor $s_{2}$ is on the root locus.
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