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|lt=4 , then find the maximum value of |i z+3-4i|dot

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

Find the greatest and the least value of |z_1+z_2| if z_1=24+7ia n d|z_2|=6.

If z_(1),z_(2)andz_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=|z_(1)+z_(2)+z_(3)|=1 , find the value of |1/z_(1)+1/z_(2)+1/z_(3)| .

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

If z_1, z_2, z_3 are distinct nonzero complex numbers and a ,b , c in R^+ such that a/(|z_1-z_2|)=b/(|z_2-z_3|)=c/(|z_3-z_1|) Then find the value of (a^2)/(z_1-z_2)+(b^2)/(z_2-z_3)+(c^2)/(z_3-z_1)

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|

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