turkey-yks 2012 Q28

turkey-yks · Other · lys1-math Complex Numbers Arithmetic Identifying Real/Imaginary Parts or Components

$$( | z | + z ) \cdot ( | z | - \bar { z } ) = i$$
Which of the following is the imaginary part of the complex number z that satisfies the equation?
A) $\frac { 2 } { | z | }$
B) $\frac { 1 } { | z | }$
C) $\frac { - | z | } { 2 }$
D) $\frac { 1 } { 2 | z | }$
E) $- | z |$

$$( | z | + z ) \cdot ( | z | - \bar { z } ) = i$$

Which of the following is the imaginary part of the complex number z that satisfies the equation?

A) $\frac { 2 } { | z | }$\\
B) $\frac { 1 } { | z | }$\\
C) $\frac { - | z | } { 2 }$\\
D) $\frac { 1 } { 2 | z | }$\\
E) $- | z |$

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