1
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

Let $$x(t) = 100\cos (10.5Wt)$$ be passed through an LTI system having impulse response $$h(t) = \pi {\left( {{{\sin Wt} \over {\pi t}}} \right)^2}\cos 10Wt$$. The output of the system is

A
$$\left( {{{15W} \over 4}} \right)\cos (10.5Wt)$$
B
$$\left( {{{15W} \over 2}} \right)\cos (10.5Wt)$$
C
$$\left( {{{15W} \over 8}} \right)\cos (10.5Wt)$$
D
$$(15W)\cos(10.5Wt)$$
2
GATE ECE 2023
Numerical
+2
-0

Let $$\mathrm{x_1(t)=u(t+1.5)-u(t-1.5)}$$ and $$\mathrm{x_2(t)}$$ is shown in the figure below. For $$\mathrm{y(t)=x_1(t)~*~x_2(t)}$$, the $$\int_{ - \infty }^\infty {y(t)dt} $$ is ____________ (rounded off to the nearest integer).

GATE ECE 2023 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 3 English

Your input ____
3
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

"I cannot support this proposal. My __________ will not permit it."

A
conscious
B
consensus
C
conscience
D
consent
4
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-0.33

Courts : __________ : : Parliament : Legislature

(By word meaning)

A
Judiciary
B
Executive
C
Governmental
D
Legal
EXAM MAP