If `|z_1-1|lt=1,|z_2-2|lt=2,|z_(3)-3|lt=3,` then find the greatest value of `|z_1+z_2+z_3|dot`

If |z_(1)-1|lt 1,|z_(2)-2|lt 2,|z_(3)-3|lt 3 , then |z_(1)+z_(2)+z_(3)|

If |z_(1)|=1,|z_(2)|=1,|(1)/(z_(1))+(1)/(z_(2))|=(3)/(2) then find the value of 2|z_(1)+z_(2)|]|=(3)/(2) then

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

If |z_(1)-1|<1,|z_(2)-2|<2|z_(3)-3|<3 then |z_(1)+z_(2)+z_(3)|

If |z_(1)|=2,|z_(2)|=3,|z_(3)|=4and|z_(1)+z_(3)+z_(3)|=2 ,then the value of |4z_(2)z_(3)+9z_(3)z_(1)+16z_(1)z_(2)|

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

If |z_(1)|=1,|z_(2)|=2,|z_(3)|=3, and |9z_(1)z_(2)+4z_(1)z_(3)+z_(2)z_(3)|=12 then find the value of |z_(1)+z_(2)+z_(3)|