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

The minimum value of |z|+|z-4i| is

If complex number z satisfies amp(z+i)=(pi)/(4) then minimum value of |z+1-i|+|z-2+3i| is

If z in C , then minimum value of |z - 2 + 3i| + |z - 1 + i| is

For all complex numbers z_(1) , z_(1) satisfying |z_(1)| = 12 and |z_(2) - 3 - 4i| = 5 , the minimum value of |z_(1) - z_(2)| is

z is a complex number. The minimum value of |z | + I z - 2| is

For all complex numbers z_(1), z_(2) satisfying |z_(1)|=12 and |z_(2)-3-4 i|=5 , the minimum value of |z_(1)-z_(2)| is

If i^(2)=-1 , then for a complex number Z the minimum value of |Z|+|Z-3|+|Z+i|+|Z-3-2i| occurs at

If i^(2)=-1 , then for a complex number Z the minimum value of |Z|+|Z-3|+|Z+i|+|Z-3-2i| occurs at

If z satisfies the condition arg (z + i) = (pi)/(4) . Then the minimum value of |z + 1 - i| + |z - 2 + 3 i| is _______.