JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

Suppose are the vertices of an equilateral triangle circumscribing the circle . If and are in the anticlockwise sense then is

Answer: (D)

Solution

is the incircle, so its centre is the incentre centroid circumcentre of the equilateral triangle, and circumradius inradius . Indeed . The vertices are apart about ; anticlockwise,

z

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Question ID VK-108104