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The angles of asymptotes of the root loci of the equation s^3+5s^2+(K+2)s+K=0 are:

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The angles of asymptotes of the root loci of the equation s^3+5s^2+(K+2)s+K=0 are:

(a) 0° and 270°

(b) 0° and 180°

(c) 90° and 270°

(d) 90° and 180°

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Question is taken from Construction of Root Loci in portion The Root Locus Technique of Control Systems

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Correct choice is (c) 90° and 270°

The explanation: P-Z =2

Angle of asymptote = (2q+1)180°/P-Z

Angle are 90° and 270°.

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