GATE ECE 2014 Set 1 | Question: 3

Question

$C$ is a closed path in the $z$-plane given by $\mid z \mid = 3.$ The value of the integral $\displaystyle{}\oint_{C}\bigg(\dfrac{z^{2}-z+4j}{z+2j}\bigg)dz$ is

• A. $-4\pi(1+j2)$
• B. $4\pi(3-j2)$
• C. $-4\pi(3+j2)$
• D. $4\pi(1-j2)$