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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

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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-circle

I 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

1 Answer

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Best 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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