Let z be a complex number satisfying |z|^3 + 2z^2 + 4 z - 8 = 0, where z denotes the complex conjugate of z....

Question

Let z be a complex number satisfying |z|^3 + 2z^2 + 4 z - 8 = 0, where z denotes the complex conjugate of z. Let the imaginary part of z be nonzero. Match each entry in List-I to the correct entries in List-II. List-I (P) |z|^2 is equal to (Q) |z - z |^2 is equal to (R) |z|^2 + |z + z |^2 is equal to (S) |z + 1|^2 is equal to List-II (1) 12 (2) 4 (3) 8 (4) 10 (5) 7 The correct option is:

Accepted Answer

(B)

JEE Advanced 2023 Mathematics question

Solution

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