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Consider an equilateral triangle having ...

Consider an equilateral triangle having verticals at point `A(2/sqrt3 e^((lpi)/2)),B(2/sqrt3 e^((-ipi)/6)) and C(2/sqrt3 e^((-5pi)/6)).` If `P(z)` is any point an its incircle, then `AP^2+BP^2+CP^2`

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