Project ID:
5000000005
Accepted:
Template:
Question:
In the figure complex numbers \( A \)-\( G \) in the cartesian coordinate system are shown.
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:
$\color{blue}A$
Answer Header 2:
$\color{red}B$
Answer Header 3:
$\color{purple}C$
Answer Header 4:
$\color{green}D$
Answer Header 5:
$\color{yellow}E$
Answer Header 6:
$\color{pink}F$
Answer Header 7:
$\color{darkblue}G$
Answer Header 8:
X
Question Row 1:
$-2\mathrm{i}$
Answer Row 1:
3
Question Row 2:
$2\mathrm{i}$
Answer Row 2:
7
Question Row 3:
$-3+2\mathrm{i}$
Answer Row 3:
1
Question Row 4:
$-3-2\mathrm{i}$
Answer Row 4:
6
Question Row 5:
$-2+3\mathrm{i}$
Answer Row 5:
8
Question Row 6:
$-2-3\mathrm{i}$
Answer Row 6:
2
Tex:
% http://math4u.vsb.cz/ticket/32578
\definecolor{darkblue}{rgb}{0,0,0.5}
\definecolor{pink}{rgb}{1,0.5,0}
\definecolor{yellow}{rgb}{1,0.5,0.5}
\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]{-5.5}{4.5}{-3.5}{5.5}
{\footnotesize
\begin{scope}
\obrClip
\draw[help lines,xstep=\delka,ystep=\delka] (-6,-5) grid (8,6);
\end{scope}
\draw[->](\MsrXmin,0)--(\MsrXmax,0) node[right] {$\mathrm{Re}(z)$};
\draw[->](0,\MsrYmin)--(0,\MsrYmax) node[above] {$\mathrm{Im}(z)$};
\foreach \a/\b/\jmeno/\barva in
{-3/-2/A/blue, -2/3/B/red, 0/2/C/purple, 2/-3/D/green, 2/3/E/yellow, -3/2/F/pink, 0/-2/G/darkblue}
{\color{\barva} \draw (\a,\b) node [above right] {$\jmeno$};
\draw[thick] (\a-0.2,\b)--(\a+0.2,\b);
\draw[thick] (\a,\b-0.2)--(\a,\b+0.2);
}
\foreach \X in {-5,-4,-3,-2,-1,1,2,3,4} {\draw (\X,0) node [below,xshift=2pt] {\footnotesize$\X$};}
\foreach \Y in {-3,-2,-1,1,2,3,4} {\draw (0,\Y) node [left,yshift=-2pt] {\footnotesize$\Y$};}
}
\end{minipage}}