If `((z-1)|(z+1))` is purely an imaginary number and `z ne -1

If `((z-1)/(z+1))` is purely an imaginary number and `z ne -1` then find the value of |z|.
If `((z-1)|(z+1))` is purely an imaginary number and `z ne -1
If `((z-1)|(z+1))` is purely an imaginary number and `z ne -1
If `((z-1)|(z+1))` is purely an imaginary number and `z ne -1

number