1
GATE CE 2006
MCQ (Single Correct Answer)
+2
-0.6
Using Cauchy's Integral Theorem, the value of the integral (integration being taken in counter clockwise direction)
$$\int\limits_C {{{{z^3} - 6} \over {3z - i}}} dz$$ is where C is |z| = 1
$$\int\limits_C {{{{z^3} - 6} \over {3z - i}}} dz$$ is where C is |z| = 1
2
GATE CE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider likely applicability of Cauchy's Integral theorem to evaluate the following integral counterclockwise around the unit circle C.
$$I\, = \,\oint\limits_C {\sec z\,dz} $$, z being a complex variable. The value of I will be
$$I\, = \,\oint\limits_C {\sec z\,dz} $$, z being a complex variable. The value of I will be
Questions Asked from Complex Variable (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CE Subjects
Construction Material and Management
Geomatics Engineering Or Surveying
Engineering Mechanics
Transportation Engineering
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Steel Structures
Environmental Engineering
Engineering Mathematics
Structural Analysis
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
General Aptitude