1
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
The system represented by the input-output relationship $$y\left(t\right)=\int_{-\infty}^{5t}x\left(\tau\right)d\tau$$, t > 0 is
A
Linear and causal
B
Linear but not causal
C
Causal but not linear
D
Neither linear nor causal
2
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
The period of the signal $$x\left(t\right)=8\sin\left(0.8\mathrm{πt}+\frac{\mathrm\pi}4\right)$$ is
A
$$0.4\;\mathrm\pi\;\mathrm s$$
B
$$0.8\;\mathrm\pi\;\mathrm s$$
C
1.25 s
D
2.5 s
3
GATE EE 2010
MCQ (Single Correct Answer)
+1
-0.3
The second harmonic component of the periodic waveform given in the figure has an amplitude of GATE EE 2010 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 20 English
A
0
B
1
C
$$2/\mathrm\pi$$
D
$$\sqrt5$$
4
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in the figure. The value of $$\int_{-\infty}^\infty\left|X\left(\omega\right)\right|^2d\omega$$ {where X($$\mathrm\omega$$) is the Fourier transform of x(t)} is GATE EE 2010 Signals and Systems - Continuous Time Signal Fourier Transform Question 2 English
A
2
B
2$$\mathrm\pi$$
C
4
D
4$$\mathrm\pi$$
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