jee-advanced 2021 Q15

jee-advanced · India · paper1 4 marks Complex Numbers Argand & Loci Solving Complex Equations with Geometric Interpretation

Let $z$ be a complex number satisfying $|z|^3 + 2z^2 + 4\bar{z} - 8 = 0$, where $\bar{z}$ denotes the complex conjugate of $z$. Let the imaginary part of $z$ be nonzero.
Which of the following statements is TRUE?
(A) $|z|^2 = 2$
(B) $|z|^2 = 4$
(C) $|z|^2 = 8$
(D) $|z|^2 = 16$

Let $z$ be a complex number satisfying $|z|^3 + 2z^2 + 4\bar{z} - 8 = 0$, where $\bar{z}$ denotes the complex conjugate of $z$. Let the imaginary part of $z$ be nonzero.

Which of the following statements is TRUE?

(A) $|z|^2 = 2$

(B) $|z|^2 = 4$

(C) $|z|^2 = 8$

(D) $|z|^2 = 16$

Paper Questions

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