List of top Engineering Mathematics Questions on Complex numbers asked in GATE EC

Let $w^4 = 16j$. Which of the following cannot be a value of $w$?

The value of the contour integral, $\displaystyle \oint_{C}\left(\frac{z+2}{z^{2}+2z+2}\right)dz$, where the contour $C$ is $\left\{ z:\; \left| z+1-\tfrac{3}{2}j \right| = 1 \right\}$, taken in the counter clockwise direction, is