Complex Numbers PYQ — JEE Advanced 2023 · Shift 1 · Q34 with Solution

Let

z

be a complex number satisfying

|z|^3+2 z^2+4 \bar{z}-8=0

, where

\bar{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.

The correct option is:

A
$(P) \rightarrow(1) \quad(Q) \rightarrow(3) \quad(R) \rightarrow(5) \quad(S) \rightarrow(4)$
B
$(P) \rightarrow(2) \quad(Q) \rightarrow(1) \quad(R) \rightarrow(3) \quad(S) \rightarrow(5)$
C
$(P) \rightarrow(2) \quad(Q) \rightarrow(4) \quad(R) \rightarrow(5) \quad(S) \rightarrow(1)$
D
$(P) \rightarrow(2) \quad(Q) \rightarrow(3) \quad(R) \rightarrow(5) \quad(S) \rightarrow(4)$

Complex Numbers question