Find number of values of complex numbers `omega` satisfying the system of equaltion `z^(3)=-(bar(omega))^(7)` and `z^(5).omega^(11)=1`

Let z be a complex number satisfying |z+16|=4|z+1| . Then

Suppose two complex numbers z=a+ib , w=c+id satisfy the equation (z+w)/(z)=(w)/(z+w) . Then

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.

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

If z and w are two complex numbers simultaneously satisfying te equations, z^3+w^5=0 and z^2 +overlinew^4 = 1, then

The complex number z satisfies z+|z|=2+8i . find the value of |z|-8

Let omega be the complex number cos((2pi)/3)+isin((2pi)/3) . Then the number of distinct complex cos numbers z satisfying Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0 is

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is