For complex number `z,|z-1|+|z+1|=2,` then `z` lies on

If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

If the complex number z lies on |z| = 1 then (2)/(z) lies on

If z_(1) and z_(2) are two complex numbers such that |z_(1)|= |z_(2)| , then is it necessary that z_(1) = z_(2)

If |(z-z_(1))//(z-z_(2))| = 3 , where z_(1) and z_(2) are fixed complex numbers and z is a variable complex complex number, then z lies on a

If |(z-z_(1))//(z-z_(2))| = 3 , where z_(1) and z_(2) are fixed complex numbers and z is a variable complex complex number, then z lies on a

If |(z-z_1)/(z-z_2)|=1 , where z_1 and z_2 are fixed complex numbers and z is a variable complex number, then z lies on a

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is