Let $$j\, = \,\sqrt { - 1} $$. Then one value of $${j^j}$$ is

Consider the circle $$\left| {z\, - 5\, - 5i} \right|\, = \,2$$ in the complex number plane (x, y) with z = x + iy. The minimum distance from the origin to the circle is

Let $${z^3}\, = \,\overline z $$, where z is a complex number not equal to zero. Then z is a solution of

The bilinear transformation $$w\, = \,{{z\, - \,1} \over {z\, + \,1}}$$