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GATE ECE 2020 | Question: 40

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The characteristic equation of a system is $$s^{3}+3s^{2}+\left ( K+2 \right )s+3K=0.$$ In the root locus plot for the given system, as $K$ varies from $0$ to $\infty$, the break-away or break-in points(s) lie within

  1. $(-1, 0)$
  2. $(-2, -1)$
  3. $(-3, -2)$
  4. $(-\infty, -3)$

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