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
$$\left| {z + 1} \right| = 1,$$ the value of $${1 \over {2\,\pi \,j}}\oint\limits_c {f\left( z \right)dz} $$ is
2
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
If $$x = \sqrt { - 1} ,\,\,$$ then the value of $${X^x}$$ is
3
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

Questions Asked from Marks 2
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics