lf `z(!=-1)` is a complex number such that `[z-1]/[z+1]` is purely imaginary, then `|z|` is equal to

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If the number (z-1)/(z+1) is purely imaginary, then

If the ratio (1-z)/(1+z) is purely imaginary, then

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

The number of distinct complex number(s) z, such that |z|=1 and z^(3) is purely imagninary, is/are equal to

z is complex number such that (z-i)/(z-1) is purely imaginary. Show that z lies on the circle whose centres is the point 1/2 (1+i) and radius is 1/sqrt2