For the complex number z satisfying `z^6+z^3+1=0`, arg(z) lying in the interval `(0, pi)` may be equal to

The complex number z satisfying |z+1|=|z-1| and arg (z-1)/(z+1)=pi/4 , is

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

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to

If z is a complex number satisfying z^(4)+z^(3)+2 z^(2)+z+1=0 then |z|=

The complex number z satisfying the condition arg{(z-1)/(z+1)}=(pi)/(4) lies on

If a complex number z satisfies z + sqrt(2) |z + 1| + i=0 , then |z| is equal to :

If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0 then |z| is equal to

The modulus of the complex number z such that |z+3-i| = 1 and arg(z) = pi is equal to

If z and w are two non-zero complex numbers such that |z| =|w|and arg z + arg w =pi, then the value of z is equal to-