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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

Let . If the origin and the nonreal roots of form the three vertices of an equilateral triangle in the Argand plane then is

Answer: (B)

Solution

; the roots are nonreal iff , i.e. . Then

=.

Equilateral triangle with vertices : .

||^2==Missing argument for \frac\frac{

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Question ID VK-108110