1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The solution for the differential equation $$\,\,{{{d^2}x} \over {d{t^2}}} = - 9x,\,\,$$ with initial conditions $$x(0)=1$$ and $${{{\left. {\,\,\,\,{{dx} \over {dt}}} \right|}_{t = 0}} = 1,\,\,}$$ is
A
$${t^2} + t + 1$$
B
$$\sin 3t + {1 \over 3}\cos 3t + {2 \over 3}$$
C
$${1 \over 3}\sin 3t + \cos 3t$$
D
$$\cos 3t + t$$
2
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Let $$S$$ be the set of points in the complex plane corresponding to the unit circle. $$\left( {i.e.,\,\,S = \left\{ {z:\left| z \right| = 1} \right\}} \right.$$ Consider the function $$f\left( z \right) = z{z^ * }$$ where $${z^ * }$$ denotes the complex conjugate of $$z.$$ The $$f(z)$$ maps $$S$$ to which one of the following in the complex plane?
A
unit circle
B
horizontal axis line segment from origin to $$(1, 0)$$
C
the point $$(1, 0)$$
D
the entire horizontal axis
3
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $$X\left( s \right) = {{3s + 5} \over {{s^2} + 10s + 20}}$$ be the Laplace Transform of a signal $$x(t).$$
Then $$\,x\left( {{0^ + }} \right)$$ is
A
$$0$$
B
$$3$$
C
$$5$$
D
$$21$$
4
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Figure shows four electronic switches $$(i), (ii), (iii)$$ and $$(iv).$$ Which of the switches can block voltages of either polarity (applied between terminals $$‘a’$$ and $$‘b’$$) when the active device is in the OFF state? GATE EE 2014 Set 1 Power Electronics - Power Semiconductor Devices Question 14 English
A
$$(i), (ii) $$ and $$(iii)$$
B
$$(ii), (iii) $$ and $$(iv)$$
C
$$(ii)$$ and $$(iii)$$
D
$$(i)$$ and $$(iv)$$
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