The range of real number `alpha` for which the equation `z + alpha|z-1| + 2i = 0` 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.

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 ____

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

The number of real values of alpha for which the system of equations {:(x+3y+5z=alphax),(5x+y+3z=alpha y),(3x+5y+z= alpha z):} has infinite number of solutions is