If `z_1,z_2` are complex numbers such that` |(z_1-3z_2)/(3-z_1barz_2)|=1` and `|z_2|!=1`then find `|z_1|`

If z_(1),z_(2) are complex numbers such that |(z_(1)-3z_(2))/(3-z_(1)bar(z)_(2))|=1 and |z_(2)|!=1 then find |z_(1)|

If z_1 and z_2 are two complex numbers such that |(barz_1-2barz_2)(2-z_1barz_2)|=1 then (A) |z_1|=1, if |z_2|!=1 (B) |z_1|=2, if |z_2|!=1 (C) |z_2|=2, if |z_1|!=1 (D) |z_2|=1, if |z_1|!=2

If z_1 and z_2 are two complex numbers such that |(barz_1-2barz_2)(2-z_1barz_2)|=1 then (A) |z_1|=1, if |z_2|!=1 (B) |z_1|=2, if |z_2|!=1 (C) |z_2|=2, if |z_1|!=1 (D) |z_2|=1, if |z_1|!=2

If z_(1) , z_(2) are two complex numbers satisfying |(z_(1) - 3z_(2))/(3 - z_(1) barz_(2))| = 1 , |z_(1)| ne 3 then |z_(2)|=

If z_1,z_2 are complex numbers such that, (2z_1)/(3z_2) is purely imaginary number then find |((z_1-z_2)/((z_1+z_2))| .

If z_1,z_2, z_3 are complex numbers such that |z_1|=|z_2|=|z_3|=|1/z_1+1/z_2+1/z_3|=1 then |z_1+z_2+z_3| is equal to

If z_1,z_2, z_3 are complex numbers such that |z_1|=|z_2|=|z_3|=|1/z_1+1/z_2+1/z_3|=1 then |z_1+z_2+z_3| is equal to