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

If |z+(4)/(z)|=2, find the maximum and minimum values of |z|.

The maximum value of |z| when z satisfies the condition |z+(2)/(z)|=2 is

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

If |z+4| le 3 , then the maximum value of |z+1| is

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

In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+4 i|=10 lie on a

If z is a complex number such that |z| ge 2 , then the minimum value of |z+(1)/(2)| .

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).

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

The complex numbers z_(1), z_(2), z_(3) satisfying (z_(1)-z_(3))/(z_(2)-z_(3))=(1-i sqrt(3))/(2) are the vertices of a triangle which is