arg ` ( - 1 - i ) = `

The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:

If arg (bar (z) _ (1)) = arg (z_ (2)) then

If z, z_1 and z_2 are complex numbers, prove that (i) arg (barz) = - argz (ii) arg (z_1 z_2) = arg (z_1) + arg (z_2)

If z_1 = 3i and z_2 = -1 -i , find the value of arg z_1/z_2 .

If z and w are two complex number such that |zw|=1 and arg (z) – arg (w) = pi/2, then show that overline zw = -i.