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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°I have been asked this question in a job interview.Question is taken from Construction of Root Loci in portion The Root Locus Technique of Control Systems

Answer» 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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