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-7 section-1
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Given f(z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?
Potential function $$\phi $$ is given as $$\phi $$ = x2 - y2. What will be the stream function $$\psi $$ with the condition $$\psi $$ = 0 at x = y = 0?
Consider likely applicability of Cauchy's Integral Theorem to evaluate the following integral counter clockwise around the unit circle c.
$$I = \oint\limits_{\text{c}} {\sec {\text{z}}} {\text{dz,}}$$ z being a complex variable. The value of $$I$$ will be
The value of the contour integral $$\oint\limits_{\left| {{\text{z}} - {\text{i}}} \right| = 2} {\frac{1}{{{{\text{z}}^2} + 4}}{\text{dz}}} $$ in positive sense is
The value of $$\oint {\Gamma \frac{{3{\text{z}} - 5}}{{\left( {{\text{z}} - 1} \right)\left( {{\text{z}} - 2} \right)}}{\text{dz}}} $$ along a closed path $$\Gamma $$ is is equal to (4πi), where z = x + iy and $${\text{i}} = \sqrt { - 1} .$$ The correct path $$\Gamma $$ is
The contour integral $$\oint\limits_{\text{C}} {{{\text{e}}^{\frac{1}{{\text{z}}}}}{\text{dz}}} $$ with C as the counter-clockwise unit circle in the z-plane is equal to
A complex function f(z) = u(x, y) + iv(x, y) and its complex conjugate, f'(z) = u(x, y) - iv(x, y) are both analytic in the entire complex plane, where z = x + iy and $${\text{i}} = \sqrt { - 1} .$$ The function f is then given by
