List of top Mathematics Questions on Complex numbers asked in VITEEE

The locus of \(z\) satisfying the inequality
\[ \left|\frac{z+2i}{2z+i}\right|<1,\; \text{where } z=x+iy, \] is 
 

If \(n\) is an integer which leaves remainder one when divided by three, then
\[ (1+\sqrt{3}i)^{n}+(1-\sqrt{3}i)^{n} \] equals
If \(\left|\frac{z-25}{z-1}\right|=5\), the value of \(|z|\)
Argument of the complex number \(\left(\frac{-1-3i}{2+i}\right)\) is
If $\left|\frac{z-25}{z-1}\right|=5$ , the value of |z|
The product of all values of \( \cos(\alpha) + i \sin(\alpha) )^{3/5} \) is equal to
The imaginary part of \( \frac{(1+i)^2}{i(2i-1)} \) is
The region of the Argand plane defined by \( |z - 1| + |z + 1| \leq 4 \) is:
The value of the sum \( \sum_{n=1}^{13} (i^n + i^{n+1}) \), where \( i = \sqrt{-1} \), equals: