Complex NumbersHard

Question

Let z1 and z2 be two non real complex cube roots of unity and |z - z1|2 + |z - z2|2 = λ be the equation of a circle with z1, z2 as ends of a diameter then the value of l is

Options

A.4
B.3
C.2
D.√2

Solution

∵  Circle

so by pythogorous theorem
λ = |w - w2|2 = = 3

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