Let `z` be a complex number satisfying `z^(117)=1` then minimum value of `|z-omega|` (where `omega` is cube root of unity) is

If z is a complex number satisfying |z^(2)+1|=4|z| , then the minimum value of |z| is

If z is a complex number satisfying |z-3|<=4 and | omega z-1-omega^(2)|=a (where omega is complex cube root of unity then

If z is a complex number satisfying ∣ z + 16 ∣ = 4 | z+1 | , then the minimum value of | z | is

" Let "f(x)=int_(x)^(x^2)(t-1)dt" .Then the value of "|f'(omega)|" where "omega" is a complex cube root of unity is "

Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is minimum, then z is equal to

If |z| = 3, the area of the triangle whose sides are z, omega z and z + omega z (where omega is a complex cube root of unity) is

If the are of the triangle formed by z,omega z and z+omega z where omega is cube root of unity is 16sqrt(3) then |z|=?

If z is a complex numer then the equation z^2+z|z|+|z^2|=0 is satisfied by (omega and omega^2 are imaginary cube roots of unity) (A) z=komega where k in R (B) z=k omega^2 where k is non negative (C) z=k omega where k is positive real (D) z= k omega^2 where k in R