1
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.
A
the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by two.
B
the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by two.
C
the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by two.
D
the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by two
2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The output of a continuous-time, linear time-invariant system is denoted by T{x(t)} where x(t) is the input signal. A signal z(t) is called eigen-signal of the system T, when T{z(t)}= yz(t), where $$\gamma$$ is a complex number, in general, and is called an eigen value of T. suppose the impulse response of the system T is real and even. Which of the following statements is TRUE?
A
cos(t) is and eigen-signal but sin(t) is not
B
cos(t) is and sin(t) are both eigen-signal but with different eigen values
C
sin(t) is an eigen-signal but cos(t) is not
D
cos(t) and sin(t) are both eigen-signal with identical eigen values
3
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\int_{-\infty}^{+\infty}e^{-t}\partial\left(2t-2\right)dt$$. where $$\partial\left(t\right)$$ is the Dirac delta function, is
A
$$\frac1{2e}$$
B
$$\frac2e$$
C
$$\frac1{e^2}$$
D
$$\frac1{2e^2}$$
4
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a continuous-time system with input x(t) and output y(t) given by $$y\left(t\right)=x\left(t\right)\cos\left(t\right)$$. This system is
A
linear and time-invariant
B
Non-linear and time-invariant
C
linear and time-varying
D
Non-linear and time-varying
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