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Due to an addition of pole at origin, the polar plot gets shifted by ___ at ω = 0 ?

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Due to an addition of pole at origin, the polar plot gets shifted by ___ at ω = 0 ?

(a) -45°

(b) -60°

(c) -90°

(d) -180°

The question was posed to me in semester exam.

This intriguing question comes from Nyquist Stability Criterion in portion Stability in Frequency Domain of Control Systems

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Best answer
Correct choice is (c) -90°

To explain: Addition of pole causes instability to the system.

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