1
GATE EE 2023
Numerical
+1
-0.33

For the signals $$x(t)$$ and $$y(t)$$ shown in the figure, $$z(t)=x(t)*y(t)$$ is maximum at $$t=T_1$$. Then $$T_1$$ in seconds is __________ (Round off to the nearest integer)

GATE EE 2023 Signals and Systems - Linear Time Invariant Systems Question 4 English 1 GATE EE 2023 Signals and Systems - Linear Time Invariant Systems Question 4 English 2

Your input ____
2
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
3
GATE EE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The impulse response g(t) of a system G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)? GATE EE 2015 Set 1 Signals and Systems - Linear Time Invariant Systems Question 51 English
A
$$\frac23$$
B
$$\frac34$$
C
$$\frac45$$
D
1
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider an LTI system with impulse response $$h\left(t\right)=e^{-5t}u\left(t\right)$$ . If the output of the system is $$y\left(t\right)=e^{-3t}u\left(t\right)-e^{-5t}u\left(t\right)$$ then the input, x(t), is given by
A
$$e^{-3t}u\left(t\right)$$
B
$$2e^{-3t}u\left(t\right)$$
C
$$e^{-5t}u\left(t\right)$$
D
$$2e^{-5t}u\left(t\right)$$
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