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Three distinct points $x, y, z$ lie on a unit circle of the complex plane and satisfy $x+y+z=0$. Then $x, y, z$ form the vertices of .

1. An isosceles but not equilateral triangle.
2. An equilateral triangle.
3. A triangle of any shape.
4. A triangle whose shape can't be determined.
5. None of the above.
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Since the arrows must be symmetric to each other as none of them is speacial. So equilateral.

by Junior (629 points)