GATE EE 2026 Set 1 — Question 62

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NAT+2 / -0MediumContour IntegrationComplex VariablesEngineering MathematicsIntegrals via Residues

Engineering Mathematics → Complex Variables → Contour Integration

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Question

The magnitude of the contour integralC((z+1)2(zi)(z2))dz\oint_C \left( \frac{(z+1)^2}{(z-i)(z-2)} \right) dzover the contour C:z2i=3/2C: |z - 2 - i| = 3/2 is ______
(Round off to two decimal places)
Note: zz is a complex variable and i=1i = \sqrt{-1}
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