C is the complex numbers `f:CrarrR` is defined by `f(z)=|z^(3)-z+2|.` Find the maximum value of `f(z),If|z|=1.`

For the complex number z satisfying the condition |z+(2)/(z)|=2 , the maximum value of |z| is

If the complex number z is such that |z-1|le1 and |z-2|=1 find the maximum possible value |z|^(2)

If z_1,z_2,z_3 are three complex numbers such that |z_1|=|z_2|=1 , find the maximum value of |z_1-z_2|^2+|z_2-z_3|^2+|z_3+z_1|^2

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|

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1 find maximum value of| z1 - z2 |^2 + |z2-z3|^2 + |z3-z1|^2

If a complex number z satisfies |z|^(2)+(4)/(|z|)^(2)-2((z)/(barz)+(barz)/(z))-16=0 , then the maximum value of |z| is

If z is a complex number lying in the first quadrant such that "Re"(z)+"Im"(z)=3 , then the maximum value of {"Re"(z)}^(2)"Im"(z) , is

If z is a complex number lying in the first quadrant such that "Re"(z)+"Im"(z)=3 , then the maximum value of "{Re"(z)}^(2)"Im"(z) , is