1
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
In the system shown in Fig. the input $$x\left( t \right) = \sin t.$$ In the steady-state, the response $$y(t)$$ will be GATE EE 2004 Signals and Systems - Linear Time Invariant Systems Question 19 English
A
$${1 \over {\sqrt 2 }}\,\sin \left( {t - {{45}^ \circ }} \right)$$
B
$${1 \over {\sqrt 2 }}\,\sin \left( {t + {{45}^ \circ }} \right)$$
C
$$\sin \left( {t - {{45}^ \circ }} \right)$$
D
$$\sin \left( {t + {{45}^ \circ }} \right)$$
2
GATE EE 2001
MCQ (Single Correct Answer)
+2
-0.6
Given the relationship between the input $$u(t)$$ and the output $$y(t)$$ to be
$$y\left( t \right) = \int\limits_0^t {\left( {2 + t - \tau } \right){e^{ - 3\left( {t - \tau } \right)}}} u\left( \tau \right)d\tau $$
the transfer function $$Y\left( s \right)/U\left( s \right)$$ is
A
$${{2{e^{ - 2s}}} \over {s + 3}}$$
B
$${{s + 2} \over {{{\left( {s + 3} \right)}^2}}}$$
C
$${{2s + 5} \over {s + 3}}$$
D
$${{2s + 7} \over {{{\left( {s + 3} \right)}^2}}}$$
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