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A unity feedback control system has an open-loop transfer function $G(s)=\dfrac{K}{s\left(s^{2}+7 s+12\right)}$. The gain $K$ for which $s=-1+j 1$ will lie on the root locus of this system is

  1. $4$
  2. $5.5$
  3. $6.5$
  4. $10$
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