Complex NumbersHard
Question
The roots of the cubic equation (z + ab)3 = a3, a ≠ 0 represents the vertices of an equilateral triangle of sides of length -
Options
A.
|ab|
B.√3 |a|
C.√3 |b|
D.
|a|
More Complex Numbers Questions
If x = a + b + c, y = aα + bβ + c and z = αβ + bα + c, where α and β are imaginary cu...The region of Argand diagram defined by |z − 1| + |z + 1| ≤ 4 is -...If z and ω are two non-zero complex numbers such that | zω | = 1, and Arg (z) - Arg(ω) = π/2, then &...The curve represented by Re(z2) = 4 is -...If amp(z) = α, then amp(iz) is equal to -...