JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

The roots of the equation are represented by the vertices of

Answer: (B)

Solution

Factor: . Roots: (double) and , i.e. the distinct points .

*(Figure: triangle A(−1), B(−ω²), C(−ω).)*

Side lengths (using ):

AB=|1-ω^2|=|ω^2(ω-1)|=|ω-1|,

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Question ID VK-108098