1
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
A polynomial $$f\left(x\right)\;=\;a_4x^4\;+\;a_3x^3\;+\;a_2x^2\;+\;a_1x\;-\;a_0$$ with all coefficients positive has
A
no real roots
B
no negative real root
C
odd number of real roots
D
at least one positive and one negative real root
2
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier
A
will always be unstable at high frequencies
B
will be stable for all frequencies
C
may be unstable, depending on the feedback factor
D
will oscillate at low frequencies
3
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
A system described by the transfer function $$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints on $$\alpha$$ and k are,
A
$$\alpha>0,\;\alpha k<3$$
B
$$\alpha>0,\;\alpha k\;>\;3$$
C
$$\alpha\;<\;0,\;\alpha k\;>\;3$$
D
$$\alpha\;>\;0,\;\alpha k\;<\;3$$
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of the s-plane are
A
$$0$$
B
1
C
2
D
3
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