If a complex number Z is purely imaginary then conjugate of Z is

Consider a complex number w=(z-1)/(2z+1) where z=x+iy, where x,y in R . If the complex number w is purely imaginary then locus of z is

The complex number z is purely imaginary,if

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

if z-bar(z)=0 then z is purely imaginary

A non-zero complex number z is said to be purely imaginary if

if the number (z-2)/(z+2) is purely imaginary then find the value of |z|

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