Official PYQ · 2014Set 4 · Q48LTI SystemsNAT2 marks

GATE EC 2014 Set 4 Q48 — LTI Systems

The characteristic equation of a unity negative feedback system is $1+KG(s)=0$ . The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $-1$ . The root locus of the system for varying $K$ is shown in the figure.

The constant damping ratio line, for $\xi = 0.5$ , intersects the root locus at point A. The distance from the origin to point A is given as $0.5$ . The value of $K$ at point A is ________.

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Answer: 0.32:0.41

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Published 10 Oct 2026

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