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JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

Let be three vertices of an equilateral triangle circumscribing the circle . If and were in anticlockwise sense, then is

Answer: (D)

Solution

The circle is the incircle, so the centre is the origin and the circumradius is twice the inradius, i.e. ; indeed

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Question ID VK-013966