1
GATE IN 2016
Numerical
+1
-0
The value of the integral $${1 \over {2\pi j}}\int\limits_c {{{{z^2} + 1} \over {{z^2} - 1}}} dz$$
where $$z$$ is a complex number and $$C$$ is a unit circle with center at $$1+0j$$ in the complex plane is ____.
where $$z$$ is a complex number and $$C$$ is a unit circle with center at $$1+0j$$ in the complex plane is ____.
Your input ____
2
GATE IN 2016
MCQ (Single Correct Answer)
+1
-0.3
In the neighborhood of $$z=1,$$ the function $$f(z)$$ has a power series expansion of the form
$$f\left( z \right) = 1 + \left( {1 - z} \right) + {\left( {1 - z} \right)^2} + ..................$$
Then $$f(z)$$ is
$$f\left( z \right) = 1 + \left( {1 - z} \right) + {\left( {1 - z} \right)^2} + ..................$$
Then $$f(z)$$ is
3
GATE IN 2015
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\oint\limits_c {{1 \over {{z^2}}}dz} $$ where the contour is the unit circle traversed clock - wise, is
4
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
For the function $${{\sin z} \over {{z^3}}}$$ of a complex variable z, the point z = 0 is
Questions Asked from Complex Variable (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE IN Subjects