If `z_1, z_2` are complex number 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 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), and z_(2) are complex numbers,such that (3z_(1))/(2z_(2)) is purely imaginary,then find |(z_(1)+z_(2))/(z_(1)-z_(2))|]|

If 2z_(1)/3z_(2) is a purely imaginary number,then find the value of |(z_(1)-z_(2))/(z_(1)+z_(2))|

If (2z_(1))/(3z_(2)) is purely imaginary number, then |(z_(1)-z_(2))/(z_(1)+z_(2))|^(4) is equal to

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to