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JEE Main 2015 Mathematics question

MathematicsComplex NumbersJEE Main 2015

A complex number z is said to be unimodular if |z| = 1. Let and are complex numbers such that is unimodular and is not unimodular, then the point lies on a

Answer: (4)

Solution

Setting and expanding both sides, the cross terms cancel and we are left with .

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Question ID VK-115195