1
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
2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Suppose x1(t) and x2(t) have the Fourier transforms as shown below. GATE EE 2016 Set 1 Signals and Systems - Continuous Time Signal Fourier Transform Question 10 English Which one of the following statements is TRUE?
A
x1(t) and x2(t) are complex and x1(t)x2(t) is also complex with nonzero imaginary part
B
x1(t) and x2(t) are real and x1(t)x2(t) is also real
C
x1(t) and x2(t) are complex but x1(t)x2(t) is real
D
x1(t) and x2(t) are imaginary but x1(t)x2(t) is real
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