Find z having the maximum argument, where z lies on the circle, `|z-3i|=4`

Find the ratio of the largest to the smallest absolute value of the complex number z, where it lies on the circle |z-3-2i|=2 .

If one vertices of the triangle having maximum area that can be inscribed in the circle |z-i| = 5 is 3-3i, then find the other verticles of the traingle.

The value of int_(0)^(10)[amp|z+2|]dx is equal to where z lies on the circle |z|=2 and [.] denotes greatest integer function (where amp.z means amplitude of complex number z

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

The radius of the circle |(z-i)/(z+i)|=3 , is

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

Let z be a complex number having the argument theta,0

If z = (3)/( 2 + cos theta + I sin theta) , then prove that z lies on the circle.

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.