Consider an equilateral triangle having vertices at the points A(2√3 – InterviewSolution

1.	Consider an equilateral triangle having vertices at the points A(2√3eiπ/2),B(2√3e−iπ/6) and C(2√3e−i5π/6). Let P be any point on its incircle. then AP2+BP2+CP2=
Answer» Consider an equilateral triangle having vertices at the points $A (\frac{2}{\sqrt{3}} e^{i π / 2}), B (\frac{2}{\sqrt{3}} e^{- i π / 6})$ and $C (\frac{2}{\sqrt{3}} e^{- i 5 π / 6}) .$ Let $P$ be any point on its incircle. then $A P^{2} + B P^{2} + C P^{2} =$

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