1.

With reference to root locus, the complex conjugate roots of the characteristic equation of the O.L.T.F. given below G(s)H(s) =K(s+3)/(s+1)^2, lie on(a) Straight line(b) Parabola(c) Circle(d) Semi-circleI got this question during an online exam.The doubt is from Construction of Root Loci topic in section The Root Locus Technique of Control Systems

Answer»

Correct CHOICE is (C) CIRCLE

The explanation is: Complex conjugate roots of the CHARACTERISTIC EQUATION of the O.L.T.F.lie on circle.



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