Let z1 be a fixed point on the circle of...

Let z_1 be a fixed point on the circle of radius 1 centered at the origin in the Argand plane and `z_1 ne pm 1`. Consider an equilateral triangle inscribed in the circle with z_1, z_2, z_3 as the vertices taken in the counter clockwise direction. Then z_1z_2z_3 is equal to

A

`z_1^2`

B

`z_1^3`

C

`z_1^4`

D

`z_1`

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