List of top Mathematics Questions on Complex numbers asked in KCET

If \( Z_1 \) and \( Z_2 \) are two non-zero complex numbers, then which of the following is not true?
The real value of $\alpha$ for which $\frac{1 - i \sin \alpha}{1 + 2i \sin \alpha}$ is purely real is:
The modulus of the complex number \(\frac{(1+i)^2(1+3i)}{(2-6i)(2-2i)}\) is
If \((\frac{1+i}{1-i})^x=1\) then
If z = x +iy then the equation |z + 1| = |z - 1| represents
If \( z = x + iy \), then the equation \( |z + 1| = |z - 1| \) represents: 
The complex number $\frac {1+2i}{1-i}$ lies in