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

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

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

For any complex number z find the minimum value of |z|+|z-2i|

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

Find the minimum value of the expression E= |z|^2+ |z-3|^2 + |z- 6i|^2 (where z=x+iy, x,y in R )

For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5 , find the minimum value of |z_1-z_2|

Let Z_(1) and Z_(2) be two complex numbers satisfying |Z_(1)|=9 and |Z_(2)-3-4i|=4 . Then the minimum value of |Z_(1)-Z_(2)| is

If |z_1|=|z_2|=|z_3|=1 then value of |z_1-z_3|^2+|z_3-z_1|^2+|z_1-z_2|^2 cannot exceed

If z=(3+7i)(a+ib) , where a , b in Z-{0} , is purely imaginery, then minimum value of |z|^(2) is