gaokao 2022 Q2

gaokao · China · national-B-science 5 marks Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching
Given $z = 1 - 2i$, and $z + a\bar{z} + b = 0$, where $a, b$ are real numbers, then
A. $a = 1, b = -2$
B. $a = -1, b = 2$
C. $a = 1, b = 2$
D. $a = -1, b = -2$
Given $z = 1 - 2i$, and $z + a\bar{z} + b = 0$, where $a, b$ are real numbers, then\\
A. $a = 1, b = -2$\\
B. $a = -1, b = 2$\\
C. $a = 1, b = 2$\\
D. $a = -1, b = -2$