Find the gratest and the least values of `|z_(1)+z_(2)|,`
if `z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)`

Find the arguments of z_(1)=5+5i,z_(2)=-4+4i,z_(3)=-3-3i and z_(4)=2-2i, where i=sqrt(-1).

If |z|ge3, then determine the least value of |z+(1)/(z)| .

Find the principal value of the arguments of z_(1)=2+2i,z_(2)=-3+3i,z_(3)=-4-4iand z_(4)=5-5i,where i=sqrt(-1).

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

1. If |z-2+i|≤ 2 then find the greatest and least value of | z|

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

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible if

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

Find the maximum and minimum values of |z| satisfying |z+(1)/(z)|=2

For all complex numbers z_(1), z_(2) satisfying |z_(1)|=12 and |z_(2)-3-4 i|=5 , the minimum value of |z_(1)-z_(2)| is