If `z^2+z+1=0` where `z` is a complex number, then the value of `(z+1/z)^2+(z^2+1/z^2)^2+....+(z^6+1/z^6)^2` is

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

For complex number z,|z-1|+|z+1|=2 then z lies on

For any two complex numbers z_(1),z_(2) the values of |z_(1)+z_(2)|^(2)+|z_(1)-z_(2)|^(2) , is

If z_(1),z_(2) and z_(3) be unimodular complex numbers, then the maximum value of |z_(1)-z_(2)|^(2)+|z_(2)-z_(3)|^(2)+|z_(3)-z_(1)|^(2) , is

If Z_(1),Z_(2) are two non-zero complex numbers, then the maximum value of (Z_(1)bar(Z)_(2)+Z_(2)bar(Z)_(1))/(2|Z_(1)||Z_(2)|) is

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)