1
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The value of the integral $$\oint\limits_c {{{ - 3z + 4} \over {{z^2} + 4z + 5}}} \,\,dz,$$ when $$C$$ is the circle $$|z| = 1$$ is given by
A
$$0$$
B
$${1 \over {10}}$$
C
$${4 \over 5}$$
D
$$1$$
2
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
The residues of a complex function $$X\left( z \right) = {{1 - 2z} \over {z\left( {z - 1} \right)\left( {z - 2} \right)}}$$ at it poles
A
$${1 \over 2},\,\, - {1 \over 2},\,1$$
B
$${1 \over 2},\,\, - {1 \over 2},\, - 1$$
C
$${1 \over 2},\,\,1,\,\, - {3 \over 2}$$
D
$${1 \over 2},\,\, - 1,\,\,{3 \over 2}$$
3
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
If $$f\left( z \right) = {C_0} + {C_1}{z^{ - 1}}\,\,$$ then $$\oint\limits_{|z| = 1} {{{1 + f\left( z \right)} \over z}} \,\,dz$$ is given
A
$$2\,\pi \,{C_1}$$
B
$$2\,\pi \,(1 + {C_0})$$
C
$$2\,\pi \,j\,{C_1}$$
D
$$2\,\pi \,j\,(1 + {C_0})$$
4
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The equation sin(z) = 10 has
A
no real (or) complex solution
B
exactly two distinct complex solutions
C
a unique solution
D
an infinite no of complex solutions
GATE ECE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12