Complex Analysis - Contour Integration
GATE Electrical Engineering · 4 questions across 3 years (2018-2026) · 8% recurrence rate
Recurrence sparkline
2018–2026201820222026
Difficulty mix
med 75%
hard 25%
Question types
MCQ3
NAT1
All 4 questions on Complex Analysis - Contour Integration
2026 Q62
The magnitude of the contour integral $\oint_C \frac{(z+1)^2}{(z-i)(z-2)} dz$ over the contour C: $|z - 2 - i| = 3/2$ is _______ (Round off to two decimal places) Note: z is a complex variable and $i = \sqrt{-1}$
Med✓
2019 Q27
The closed loop line integral ∮_{|z|=5} (z³ + z² + 8)/(z + 2) dz evaluated counter-clockwise, is
Med
2018 Q13
The value of the integral \oint_C \frac{z+1}{z^2-4} dz in counter clockwise direction around a circle C of radius 1 with center at the point z = -2 is
Hard✓
2018 Q27
The value of the contour integral in the complex-plane ∫ (z³ - 2z + 3) / (z - 2) dz along the contour |z| = 3, taken counter-clockwise is
Med✓