JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

If be two th roots of unity such that they represent two points in the Argand plane where and is the origin than the positive integer is of the form

Answer: (C)

Solution

The th roots of unity are , , with , so . Let , (). Then

AOB=Missing argument for \frac\frac{2

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Question ID VK-110186