EC > GATE 2024 > Complex Analysis
Let z be a complex variable.
If $f(z) = \frac{sin(πz)}{z^2 (z-2)}$
and C is the circle in the complex plane with |z| = 3 then ∫∫Cf(z) dz is
A
$π^2 j$
B
$jπ(\frac{1}{2} - π)$
C
$jπ(\frac{1}{2} + π)$
D
$-π^2 j$

Correct : D

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