1
GATE CE 2009
MCQ (Single Correct Answer)
+2
-0.6
The value of the integral $$\int\limits_C {{{\cos \left( {2\pi z} \right)} \over {\left( {2z - 1} \right)\left( {z - 3} \right)}}} dz$$ where C is a closed curve given by |z| = 1 is
A
$$ - \pi i$$
B
$${{\pi i} \over 5}$$
C
$${{2\pi i} \over 5}$$
D
$$ \pi i$$
2
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$
A
1 and -1
B
1 and i
C
1 and -i
D
i and -i
3
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$f\left( x \right) = \cos \,h\left( {ax} \right)$$ is
A
$${a \over {{s^2} - {a^2}}}$$
B
$${s \over {{s^2} - {a^2}}}$$
C
$${a \over {{s^2} + {a^2}}}$$
D
$${s \over {{s^2} + {a^2}}}$$
4
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
In quadrantal bearing system, bearing of a line varies from
A
0º to 360º
B
0º to 180º
C
0º to 90º
D
0º N to 90ºs
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