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GATE ECE 2025 | Question: 16

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Consider the unity-negative-feedback system shown in Figure $(i)$ below, where gain $K \geq 0$. The root locus of this system is shown in Figure $(ii)$ below.

For what value(s) of $K$ will the system in Figure $(i)$ have a pole at $-1+j 1$ ?
 

  1. $K=5$
  2. $K=1 / 5$
  3. For no positive value of $K$
  4. For all positive values of $K$

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