If `z=x+iyand(z-i)/(z+1)` is purely imaginary, then show that the point z always lies on a circle.

If z=x+iy and (z-i)/(z+1) is purely imaginary,then show that the point z always lies on a circle.

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

If (z-1)/(z+1) is purely imaginary, then |z|=

If (z-1)/(z+1)(z ne-1) is purely imaginary then show that |z|=1

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

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

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

If the ratio (z-i)/(z-1) is purely imaginary, prove that the point z lies on the circle whose centre is the point (1)/(2) (1+i) and radius is (1)/(sqrt2)