Complex Variable MCQs Question and Answer in Engineering Maths
Explore a curated set of multiple-choice questions (MCQs) focused on Complex Variable within the engineering maths section. Complex Variable MCQ Quiz Pdf and prepare for your upcoming exams Like GATE and engineering exams. Page-9 section-1
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$$\oint {\frac{{{{\text{z}}^2} - 4}}{{{{\text{z}}^2} + 4}}{\text{dz}}} $$ evaluated anticlockwise around the circle |z - i| = 2, where $${\text{i}} = \sqrt { - 1} ,$$ is
In the neighborhood of z = 1, the function f(z) has a power series expansion of the form $${\text{f}}\left( {\text{z}} \right) = 1 + \left( {1 - {\text{z}}} \right) + {\left( {1 - {\text{z}}} \right)^2} + \,...$$
Then f(z) is
Given two complex numbers $${{\text{z}}_1} = 5 + \left( {5\sqrt 3 } \right){\text{i}}$$ and $${{\text{z}}_2} = \frac{2}{{\sqrt 3 }} + 2{\text{i}}$$ the argument $$\frac{{{{\text{z}}_1}}}{{{{\text{z}}_2}}}$$ in degree is
The value of the contour integral in the complex plane $$\oint {\frac{{{{\text{z}}^3} - 2{\text{z}} + 3}}{{{\text{z}} - 2}}{\text{dz}}} $$ along the contour |z| = 3, taken counter-clockwise is
In the Laurent expansion of $${\text{f}}\left( {\text{z}} \right) = \frac{1}{{\left( {{\text{z}} - 1} \right)\left( {{\text{z}} - 2} \right)}}$$ valid in the region 1 < | z | < 2, the coefficient of $$\frac{1}{{{{\text{z}}^2}}}$$ is
