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GATE Electrical 2025 | Question: 19

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The open-loop transfer function of the system shown in the figure, is
$$ G(s)=\frac{K s(s+2)}{(s+5)(s+7)}$$

For $K \geq 0$, which of the following real axis point(s) is/are on the root locus?

  1. $-1$
  2. $-4$
  3. $-6$
  4. $-10$

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