turkey-yks 2013 Q27

turkey-yks · Other · lys1-math Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching

$$\frac { | z | ^ { 2 } + z } { \bar { z } } = z + i$$
Which of the following is the set of complex numbers z that satisfy this equality? (R is the set of real numbers.)
A) $\{ a + a i \mid a \in R , a \neq 0 \}$
B) $\{ a - a i \mid a \in R , a \neq 0 \}$
C) $\{ a + 2 a i \mid a \in R , a \neq 0 \}$
D) $\{ a - 2 a i \mid a \in R , a \neq 0 \}$
E) $\{ 2 a - a i \mid a \in R , a \neq 0 \}$

$$\frac { | z | ^ { 2 } + z } { \bar { z } } = z + i$$

Which of the following is the set of complex numbers z that satisfy this equality?\\
(R is the set of real numbers.)\\
A) $\{ a + a i \mid a \in R , a \neq 0 \}$\\
B) $\{ a - a i \mid a \in R , a \neq 0 \}$\\
C) $\{ a + 2 a i \mid a \in R , a \neq 0 \}$\\
D) $\{ a - 2 a i \mid a \in R , a \neq 0 \}$\\
E) $\{ 2 a - a i \mid a \in R , a \neq 0 \}$

Paper Questions

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