Let `|(( bar z _1)-2( bar z _2))//(2-z_1( bar z _2))|=1` and `|z_2|!=1`,where `z_1` and `z_2` are complex numbers. Show that `|z_1|=2.`

Let |(barz_1-2barz_2)/(2-z_1barz_2)|=1 and |z_2|!=1 where z_1 and z_2 are complex numbers show that |z_1|=2

Let |(z_(1) - 2z_(2))//(2-z_(1)z_(2))|= 1 and |z_(2)| ne 1 , where z_(1) and z_(2) are complex numbers. shown that |z_(1)| = 2

If |z_(1)|!=1,|(z_(1)-z_(2))/(1-bar(z)_(1)z_(2))|=1, then

Let |z_(1)|=1, |z_(2)|=2, |z_(3)|=3 and z_(1)+z_(2)+z_(3)=3+sqrt5i , then the value of Re(z_(1)bar(z_(2))+z_(2)bar(z_(3))+z_(3)bar(z_(1))) is equalto (where z_(1), z_(2) and z_(3) are complex numbers)

Solve the equation, z^(2) = bar(z) , where z is a complex number.

show that |2bar(z)+5|(sqrt(2)-1)|=sqrt(3)|2z+5| where z is a complex number.

If arg (bar (z) _ (1)) = arg (z_ (2)) then