List of top Mathematics Questions on Complex Numbers and Quadratic Equations asked in COMEDK UGET

The polynomial \[ p(x)=x^4-5x^2+4 \] has:

Given that \( z \) is a real number and \( z = \frac{\lambda + 4i}{1+\lambda i} \) where \( \lambda \in R \), then the possible value of \( \lambda \) is:

If \( z = \left(\frac{\sqrt{3}}{2} + \frac{i}{2}\right)^5 + \left(\frac{\sqrt{3}}{2} - \frac{i}{2}\right)^5 \), then

If for real values of \( x \), \( \cos \theta = x + \frac{1}{x} \), then x is

The complex number \( \frac{1 + 7i}{(2 - i)^2 \) lies in}