[" 13.The range of real number "alpha" such that the "],[" equation "z+alpha|z-1|+2i=0,z=x+iy" has a "],[" solution is "]

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

Find the range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution.

The range of real number alpha for which the equation z+alpha|z-1|+2i=0 has a solution is :

If the least and the largest real values of alpha , for which the equation z + alpha |z – 1| + 2i = 0 (z in C and 1 = sqrt(-1) ) has a solution, are p and q respectively, then 4(p^2 + q^2) is equal to ____

Solve the equation |z|+z=2+i, where z = x + iy.

The number of real values of alpha for which the system of equations x + 3y + 5z = alpha x 5 x + y + 3z = alpha y 3 x + 5y + z = alpha z has infinite number of solutions is