1
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider the system as shown below:

where y(t) = x(et). The system is

A
linear and causal.
B
linear and non-causal.
C
non-linear and causal.
D
non-linear and non-causal.
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)?
A
$$\frac23$$
B
$$\frac34$$
C
$$\frac45$$
D
1
4
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?
A
z(t) can be nonzero over an unbounded interval
B
z(t) is nonzero for $$t\;<\;T_x+T_y$$
C
z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$
D
z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$
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