JEE Advanced 2020 Mathematics question

MathematicsComplex NumbersJEE Advanced 2020

For a complex number , let denote the real part of . Let be the set of all complex numbers satisfying , where . Then the minimum possible value of , where with and , is

Answer: 8

Solution

Since , the equation is . For : , where . So (apart from , which has zero real part)

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Question ID VK-033822