If 'z, lies on the circle `|z-2i|=2sqrt2`, then the value of `arg((z-2)/(z+2))` is the equal to

If z ,lies on the circle |z-2i|=2sqrt(2), then the value of arg((z-2)/(z+2)) is the equal to

If z lies on the circle |z-1|=1 , then (z-2)/z is

If z lies on the circle I z 1=1, then 2/z lies on

If z=-1 then principal value of arg(z^((2)/(3))) is equal to

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

If z=sqrt(2i), then z is equal to

Complex numbers z_(1) and z_(2) lie on the rays arg(z1) =theta and arg(z1) =-theta such that |z_(1)|=|z_(2)| . Further, image of z_(1) in y-axis is z_(3) . Then, the value of arg (z_(1)z_(3)) is equal to

Let z_(1) lies on |z|=1 and z_(2) lies on |z|=2 then maximum value of |z_(1)+z_(2)| is