Consider the unity-negative-feedback system shown in Figure (i) below, where gain K ≥ 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 + j1?

GATE 2025 Electronics & Communication Q26 — Electronics and Communication Engineerin

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Electronics and Communication Engineering · Control Systems - Root Locus

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Figure from the original GATE 2025 paper. (IIT Roorkee archive)

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Control Systems - Root Locus has appeared in GATE Electronics & Communication 2 times across 2 years (2019, 2025).

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Control SystemsRoot LocusFeedback SystemGain