1

GATE ECE 2022

MCQ (Single Correct Answer)

+1

-0.33

Consider an even polynomial p(s) given by

$$p(s) = {s^4} + 5{s^2} + 4 + K$$

where K is an unknown real parameter. The complete range of K for which p(s) has all its roots on the imaginary axis is __________.

2

GATE ECE 2018

MCQ (Single Correct Answer)

+1

-0.33

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for
determining the stability of feedback controllers. Identify which of the following statements
is FALSE.

3

GATE ECE 2018

MCQ (Single Correct Answer)

+1

-0.33

Consider p(s) = s

^{3}+ $${a_2}$$s^{2}+ $${a_1}$$s + $${a_0}$$ with all real coefficients. It is known that its derivative p'(s) has no real roots. The number of real roots of p(s) is4

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

+1

-0.3

Match the inferences X, Y, and Z, about a system, to the corresponding properties of the
elements of first column in Routh's Table of the system characteristic equation.

X: The system is stable …

Y: The system is unstable …

Z: The test breaks down …

P: … when all elements are positive

Q: … when any one element is zero

R: … when there is a change in sign of
coefficients

Questions Asked from Stability (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics