Let z_1 and z_2 be two complex numbers such that | z_1+z_2 z_1-z_2 |=1, then what is Re ( z_1 z_2 )+1 equal to?

NDA 2024 Mathematics question

Let and be two complex numbers such that , then what is equal to?

Answer: (C)

Put . The condition becomes , i.e. is equidistant from

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Question ID VK-029780