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1
GATE ECE 2020
MCQ (Single Correct Answer)
+1
-0.33

The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into $G(s)$-plane, then the mapping encircles

GATE ECE 2020 Control Systems - Root Locus Diagram Question 2 English
A

the point $-1+j 0$ of the $G(s)$-plane once in clockwise direction.

B

the origin of $G(s)$-plane once in counter - clockwise direction.

C

the point $-1+j 0$ of the $G(s)$-plane once in counter - clockwise direction.

D

the origin of $G(s)$-plane once in clockwise direction.

2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by GATE ECE 2011 Control Systems - Root Locus Diagram Question 21 English
A
$$G\left(s\right)H\left(s\right)=k\frac{s\left(s+1\right)}{\left(s+2\right)\left(s+3\right)}$$
B
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)^2}$$
C
$$G\left(s\right)H\left(s\right)=k\frac1{s\left(s-1\right)\left(s+2\right)\left(s+3\right)}$$
D
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)}$$
3
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{s(s+1)(s+3)}$$$
A
$$s=-j\sqrt{3}$$
B
$$s=-1.5$$
C
$$s=-3$$
D
$$s=-\infty$$
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
The root-locus diagram for a closed loop feedback system is shown in Figure. The system is overdamped. GATE ECE 2001 Control Systems - Root Locus Diagram Question 10 English
A
$$only\;if\;0\;\leq\;K\;\leq\;1$$
B
$$only\;if\;1\;<\;K\;<\;5$$
C
$$only\;if\;\;K\;>\;5$$
D
$$if\;0\;\leq\;K\;<\;1\;or\;K\;>\;5$$
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