Find the minimum value of `|z-1` if `||z-3|-|z+1||=2.`

The minimum value of |z-1|+|z-5| is

The minimum value of |2z-1|+|3z-2| is

The minimum value of |2z-1|+|3z-2| is

The minimum value of |Z-1+2i|+|4i-3-z| is

If z is a complex number,then find the minimum value of |z|+|z-1|+|2z-3|

For any complex number z, the minimum value of |z|+|z-1|

If z is a complex number, then the minimum value of |z|+|z-1| is -

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=|z_3|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2