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)|`.

Similar Questions

Explore conceptually related problems

If |z_(1)|=|z_(2)|=…... .=|z_(n)|=1 then |z_(1)+z_(2)+ .+z_(n)|=

If |z_(1)|=|z_(2)|=|z_(3)|=1 and z_(1)+z_(2)+z_(3)=0 , then z_(1),z_(2),z_(3) are vertices of

If z^(1) =2 -I, z_(2)=1+i , find |(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|

If |z_(1)+z_(2)|=|z_(1)-z_(2)| , then the difference of the arguments of z_(1) and z_(2) is

If |z_(1)|=|z_(2)| and arg z_(1) + arg z_(2)=0 then

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find z_(1)+z_(2) .

If z =10, find the value of z^3-3(z-10) ,

If |z_(1)-1|lt2,|z_(2)-2|lt1 , then |z_(1)+z_(2)|

If |z-(4)/(z)|=2 then the maximum value of |z| is

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is