1
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
A function is given by f(t) = sin2t +cos2t . Which of the following is true?
A
f has frequency components at 0 and $$1/2\mathrm\pi$$ Hz
B
f has frequency components at 0 and $$1/\mathrm\pi$$ Hz
C
f has frequency components at $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
D
f has frequency components at 0, $$1/2\mathrm\pi$$ and $$1/\mathrm\pi$$ Hz
2
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
Given that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of $$\int\limits_0^t {f\left( \tau \right)\,d\tau } $$ is
A
$$sF\left( s \right) - f\left( 0 \right)$$
B
$$\,{1 \over s}F\left( s \right)\,$$
C
$$\int\limits_0^s {F\left( \tau \right)d\tau } $$
D
$${1 \over s}\left[ {F\left( s \right) - f\left( 0 \right)} \right]$$
3
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The 4-point Discrete Fourier Transform (DFT) of a discrete time sequence $$\left\{ {1,\,0,\,2,\,3} \right\}$$ is
A
$$\left[ {0,\, - 2 + 2j,\,2,\, - 2 - 2j} \right]$$
B
$$\left[ {2,\,2 + 2j,\,6,\,2\, - 2j} \right]$$
C
$$\left[ {6,\,1 - 3j,\,2,\,1 + 3j} \right]$$
D
$$\left[ {6,\, - 1 + 3j,\,0,\, - 1\, - 3j} \right]$$
4
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
The ROC of Z-transform of the discrete time sequence
x(n)= $${\left( {{1 \over 3}} \right)^{n}}u(n) - {\left( {{1 \over 2}} \right)^{ n}}\,u( - n - 1)$$ is
A
$${1 \over 3} < \left| {z\,} \right| < {1 \over 2}$$
B
$$\left| {z\,} \right| > {1 \over 2}$$
C
$$\left| {z\,} \right| < {1 \over 2}$$
D
$$2 < \left| {z\,} \right| < 3$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12