1
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
The frequency response of $$G\left( s \right) = 1/\left[ {s\left( {s + 1} \right)\left( {s + 2} \right)} \right]$$ plotted in the complex $$\,G\left( {j\omega } \right)$$ plane $$\left( {for\,\,0 < \omega < \infty } \right)$$ is
A
GATE EE 2010 Control Systems - Polar Nyquist and Bode Plot Question 25 English Option 1
B
GATE EE 2010 Control Systems - Polar Nyquist and Bode Plot Question 25 English Option 2
C
GATE EE 2010 Control Systems - Polar Nyquist and Bode Plot Question 25 English Option 3
D
GATE EE 2010 Control Systems - Polar Nyquist and Bode Plot Question 25 English Option 4
2
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
For the system $${2 \over {\left( {s + 1} \right)}},$$ the approximate time taken for a step response to reach $$98$$% of its final value is
A
$$1\,s$$
B
$$2\,s$$
C
$$4\,s$$
D
$$8\,s$$
3
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
The characteristic equation of a closed-loop system is $$s\left( {s + 1} \right)\left( {s + 3} \right) + \,\,k\left( {s + 2} \right) = 0,\,\,k > 0.$$

Which of the following statements is true?

A
Its roots are always real
B
It cannot have a breakaway point in the range $$ - 1 < {\mathop{\rm Re}\nolimits} \left[ s \right] < 0$$
C
Two of its roots tend to infinity along the asymptotes $${\mathop{\rm Re}\nolimits} \left[ s \right] = - 1$$
D
It may have complex roots in the right half plane
4
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
The system $$\mathop X\limits^ \bullet = AX + BU$$ with $$A = \left[ {\matrix{ { - 1} & 2 \cr 0 & 2 \cr } } \right],$$ $$B = \left[ {\matrix{ 0 \cr 1 \cr } } \right]$$ is
A
stable and controllable
B
stable but uncontrollable
C
unstable but controllable
D
unstable and uncontrollable
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