1
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The algebraic equation
$$F\left( s \right) = {s^5} - 3{s^4} + 5{s^3} - 7{s^2} + 4s + 20$$
$$F\left( s \right) = 0$$ has
A
single complex root with the remaining roots being real
B
one positive real root and four complex roots, all with positive real parts
C
one negative real root, two imaginary roots, and two roots with positive real parts
D
one positive real root, two imaginary roots, and two roots with negative real parts
2
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A closed loop system has the characteristic function $$\left( {{s^2} - 4} \right)\left( {s + 1} \right) + K\left( {s - 1} \right) = 0.$$
Its root locus plot against $$K$$ is
A
GATE EE 2006 Control Systems - Root Locus Techniques Question 1 English Option 1
B
GATE EE 2006 Control Systems - Root Locus Techniques Question 1 English Option 2
C
GATE EE 2006 Control Systems - Root Locus Techniques Question 1 English Option 3
D
GATE EE 2006 Control Systems - Root Locus Techniques Question 1 English Option 4
3
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The Bode magnitude plot of $$H\left( {j\omega } \right) = {{{{10}^4}\left( {1 + j\,\omega } \right)} \over {\left( {10 + j\,\omega } \right){{\left( {100 + j\omega } \right)}^2}}}$$ is
A
GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 7 English Option 1
B
GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 7 English Option 2
C
GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 7 English Option 3
D
GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 7 English Option 4
4
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the following Nyquist plots of loop transfer functions over $$\omega = 0$$ to $$\omega = \infty .$$ Which of these plots represents a stable closed loop system? GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 6 English 1 GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 6 English 2 GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 6 English 3 GATE EE 2006 Control Systems - Polar Nyquist and Bode Plot Question 6 English 4
A
$$(1)$$ only
B
all, except $$(1)$$
C
all, except $$(3)$$
D
$$(1)$$ and $$(2)$$ only
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