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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

Let and be two nonreal complex cube roots of unity and be the equation of a circle with as ends of a diameter then the value of is

Answer: (B)

Solution

, . For any point on the circle with diameter , the angle at in the semicircle is a right angle, so by Pythagoras

|z-ω|^2+|z-

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Question ID VK-108109