1
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
Given $$f\left( z \right) = {1 \over {z + 1}} - {2 \over {z + 3}}.$$ If $$C$$ is a counterclockwise path in the $$z$$-plane such that
$$\left| {z + 1} \right| = 1,$$ the value of $${1 \over {2\,\pi \,j}}\oint\limits_c {f\left( z \right)dz} $$ is
A
$$-2$$
B
$$-1$$
C
$$1$$
D
$$2$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral $$\oint\limits_D {{1 \over {{s^2} - 1}}} ds$$ is GATE ECE 2007 Engineering Mathematics - Complex Variable Question 23 English
A
$$i\pi $$
B
$$ - i\pi $$
C
$$ - \pi $$
D
$$ \pi $$
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