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

If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is equal to

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

if z is any complex number satisfying abs(z-3-2i)le2 then the minimum value of abs(2z-6+5i) is

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

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

theta in [0,2pi] and z_(1) , z_(2) , z_(3) are three complex numbers such that they are collinear and (1+|sin theta|)z_(1)+(|cos theta|-1)z_(2)-sqrt(2)z_(3)=0 . If at least one of the complex numbers z_(1) , z_(2) , z_(3) is nonzero, then number of possible values of theta is

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

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

The complex number z satisfying the equation |z-i|=|z+1|=1 is

If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 then the value of absz^4 is