Complex NumbersHard

Question

If z1, z2, z3 are vertices of an equilateral triangle inscribed in the circle |z| = 2 and if z1 = 1 + i√, then

Options

A.z2 = - 2, z3 = 1 + i√3
B.z2 = 2, z3 = 1 - i√3
C.z2 = - 2, z3 = 1 - i√3
D.z2 = 1 - i√3, z3 = - 1 - i√3

Solution

z1 = 1 + i√3 = 2e3/iπ


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