Find the complex number z for which |z| = z + 1 + 2i.

Find the complex number z for which |z+1| = z + 2(1 + i) .

The locus of the points representing the complex numbers z for which |z|-2=|z-i|-|z+5i|=0 , is

The locus of the points representing the complex numbers z for which |z|-2=|z-i|-|z+5i|=0 , is

If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i//2|^(2) then the locus of z is

Find the complex number z such that |z-2+2i| le 1 and z has the : least absoluate value.

Find the complex number z such that |z-2+2i| le 1 and z has the : numerically least amplitude.

Consider the complex number z_1 = 2 - i and z_2 = -2 + i Find (z_1z_2)/z_1 . Hence, find abs((z_1z_2)/z_1)

Consider the complex number z_1 = 3+i and z_2 = 1+i .Find 1/z_2

Among the complex numbers z which satisfies |z-25i|<=15, find the complex numbers z having