List of top Engineering Mathematics Questions on Complex Variables asked in TANCET

The only function from the following that is analytic is:
The value of \( m \) so that \( 2x - x^2 + m y^2 \) may be harmonic is:
The value of \( \oint_C \frac{1}{z} dz \), where \( C \) is the circle \( z = e^{i\theta}, 0 \leq \theta \leq \pi \), is: