If |z_1|=|z_2|=|z_3|=1 and z_1,z_2,z_3 represent the vertices of an equilateral triangle, then

JEE Main Mathematics question

If and represent the vertices of an equilateral triangle, then

Answer: (C)

The circumcentre is the origin and the triangle is equilateral, so the centroid is also the origin: . Since , , so $++= + +

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Question ID VK-013995