If `z_1` is a complex number other than -1 such that `|z_1|=1\ a n d\ z_2=(z_1-1)/(z_1+1)` , then show that the real parts of `z_2` is zero.

If z_(1) is a complex number other than -1 such that |z_(1)|=1 and z_(2)=(z_(1)-1)/(z_(1)+1), then show that the real parts of z_(2) is zero.

If |z_(1)|=1(z_(1) ne -1) and z_(2)=(z_(1)-1)/(z_(1)+1) then show that the real part of z_(2) is zero.

If abs(z_1) =1, ( z_1 != -1) and z_2 = frac{z_1 - 1}{z_1 +1} , then show that the real part of z_2 is zero.

If |z + 1| = 1(z_(1) ne - 1 ) and z_(2) =(z_(1)-1)/ (z_(1)-2) , then show that the real part of z_(2) is zero.

If |z + 1| = 1(z_(1) ne - 1 ) and z_(2) =(z_(1)-1)/ (z_(1)-2) , then show that the real part of z_(2) is zero.

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

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_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( z )_2dot

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-

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