Which of the following points is NOT on the root locus of a system with the open-loop transfer function
$G (s) H (s) = \frac{K}{s (s + 1) (s + 3)} ?$

s = - j \sqrt{3}

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s = - 1.5

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s = - 3

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s = - \infty

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Solution

The correct option is B $s = - 1.5$

RL lies where no. of poles and zeros to the right of the pole is odd.
$∴ s = - 1.5$ doesnot lie on RL.

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Which of the following points is NOT on the root locus of a system with the open-loop transfer function G(s)H(s)=Ks(s+1)(s+3)?

The correct option is B s=−1.5 RL lies where no. of poles and zeros to the right of the pole is odd. ∴s=−1.5 doesnot lie on RL.

Which of the following points is NOT on the root locus of a system with the open-loop transfer function
$G (s) H (s) = \frac{K}{s (s + 1) (s + 3)} ?$

The correct option is B $s = - 1.5$

RL lies where no. of poles and zeros to the right of the pole is odd.
$∴ s = - 1.5$ doesnot lie on RL.