Complex Analysis - Contour Integration
GATE Electronics & Communication · 3 questions across 3 years (2019-2025) · 8% recurrence rate
Recurrence sparkline
2019–2025201920222025
Difficulty mix
med 67%
hard 33%
Question types
MCQ3
All 3 questions on Complex Analysis - Contour Integration
2025 Q52
Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle C in the complex plane is/are TRUE?
Med✓
2023 Q14
The value of the contour integral, $\oint_C \left(\frac{z+2}{z^2+2z+2}\right) dz$, where the contour C is $\{z: |z + 1 - \frac{3}{2}j| = 1\}$, taken in the counter clockwise direction, is
Hard
2019 Q16
The value of the contour integral $\frac{1}{2\pi j} \oint (z + \frac{1}{z})^2 dz$ evaluated over the unit circle $|z| = 1$ is ________.
Med