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

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

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

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

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|

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

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

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

Given that x,y,z are positive reals such that xyz=32 . The minimum value of x^2+4xy+4y^2+2z^2 is ___________.

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.