JEE Advanced 2023 Paper 1 Mathematics Q17

Mathematics

Problem

Let z be a complex number satisfying |z|³+2z²+4zˉ\bar{z}−8=0, where zˉ\bar{z} is the complex conjugate and Im(z)≠0. List-I: (P) |z|²; (Q) |z−zˉ\bar{z}|²; (R) |z|²+|z+zˉ\bar{z}|²; (S) |z+1|². List-II: (1) 12, (2) 4, (3) 8, (4) 10, (5) 7. The correct option is:

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