If `z=(2-i)/(1-i)` the real part of `z+1/z=?`

If z=(2+i)/(1-i) the real part of z+(1)/(2)=?

The complex number z is is such that |z| =1, z ne -1 and w= (z-1)/(z+1). Then real part of w is-

The complex number z is such that |z|=1 , z ne -1 and w=(z-1)/(z+1) . Then real part of w is

If z = x + i y and . P represents z in the Argands plane. Find the locus of P when: The real part of (z + 1) / (z + i) is 1

z_(1) and z_(2)( ne z_(1)) are two complex numbers such that |z_(1)|=|z_(2)| . Sho that the real part of (z_(1)+z_(2))/(z_(1)-z_(2)) is zero.

If z is a complex number such that |z|=1, z ne 1 , then the real part of |(z-1)/(z+1)| is

If the real part of (z+1)/(z+i) is 1, then find the locus of z.

If the real part of (z+4)/(2z+i) is 1/2 then the point z lies on _______.

If Real ((2z-1)/(z+1)) =1, then locus of z is , where z=x+iy and i=sqrt(-1)