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

The complex number $ z = x + iy $ satisfy the equation $ |\frac {z-5i}{z+5i}| = 1 $ lies on
If $ \alpha,\beta $ are the roots of the equation $ ax^2+bx+c = 0 $ and $ S_n = \alpha^n + \beta^n, $ then a $ S_{n+1} + bS_{n} + cS_{n-1} $ is equal to
If $ (1+x+x^2)^n = a_o +a_1x +a_2x^2 +.....+a_{2n} x^{2n}, $ then $ a_o+a_3+a_6+.....= $