Project ID:
5000000017
Accepted:
Template:
Question:
The figure shows complex numbers \( A \)-\( G \) in the cartesian coordinate system. In the table for each of the given complex numbers choose its complex conjugate. If the complex conjugate is not shown in the figure, choose X .
Answer Header 1:
\( \color{cyan}A \)
Answer Header 2:
\( \color{red}B \)
Answer Header 3:
\( \color{magenta}C \)
Answer Header 4:
\( \color{green}D \)
Answer Header 5:
\( \color{yellow}E \)
Answer Header 6:
\( \color{gray}F \)
Answer Header 7:
\( \color{blue}G \)
Answer Header 8:
X
Question Row 1:
\( 3-2\mathrm{i} \)
Answer Row 1:
8
Question Row 2:
\( 3+2\mathrm{i} \)
Answer Row 2:
8
Question Row 3:
\( 2-3\mathrm{i} \)
Answer Row 3:
5
Question Row 4:
\( 2+3\mathrm{i} \)
Answer Row 4:
4
Question Row 5:
\( 2 \)
Answer Row 5:
3
Question Row 6:
\( -2 \)
Answer Row 6:
7
Tex:
% http://math4u.vsb.cz/ticket/32099
\let\oldQuestion\Question
\def\I{\mathrm{i}}
\def\Question{
\begin{minipage}[t]{0.6\linewidth}
\leavevmode
\oldQuestion
\end{minipage}
\hfill
\begin{minipage}[t]{0.35\linewidth}
\leavevmode
\kern -30pt
\def\delka{0.4cm}
\obrMsr[x=\delka,y=\delka]{-4}{6.5}{-5}{6.5}
{
\coordinate (A) at (-3,-2);
\coordinate (B) at (-2,3);
\coordinate (C) at (2,0);
\coordinate (D) at (2,-3);
\coordinate (E) at (2,3);
\coordinate (F) at (-3,2);
\coordinate (G) at (-2,0);
\obrClip
\draw[gray!30,step=1] (-4,-4) grid (4,4);
\draw[->] (-4,0) -- (4,0) node [right]{\small{$\mathrm{Re}(z)$}};
\draw[->] (0,-4) -- (0,4) node [above]{\small{$\mathrm{Im}(z)$}};
\obrPopisX[below]{-2,2}
\obrPopisY[left]{-2,2}
\obrZnackyX{-3,-1,1,3}
\obrZnackyY{-3,-1,1,3}
\begin{scope}[cyan]
\obrKrizek[2pt]{A}{below right}{A}
\end{scope}
\begin{scope}[red]
\obrKrizek[2pt]{B}{above right}{B}
\end{scope}
\begin{scope}[magenta]
\obrKrizek[2pt]{C}{above right}{C}
\end{scope}
\begin{scope}[green!60!black]
\obrKrizek[2pt]{D}{above right}{D}
\end{scope}
\begin{scope}[yellow!80!black]
\obrKrizek[2pt]{E}{above right}{E}
\end{scope}
\begin{scope}[gray]
\obrKrizek[2pt]{F}{below left}{F}
\end{scope}
\begin{scope}[blue]
\obrKrizek[2pt]{G}{above right}{G}
\end{scope}
}
\end{minipage}
}
\pocetsloupcu{8}