Project ID:
5000000058
Accepted:
Template:
Question:
\kern -2em
Let $p$ be a line containing the points $S_4$, $S_1$, $S_3$, $S_2$ in this order, where $|S_4 S_1|= 1\,\mathrm{cm}$, $|S_1 S_3|= 1.5\,\mathrm{cm}$, and $|S_3 S_2|= 3.5\,\mathrm{cm}$.
\smallskip
Further, let $k_1$, $k_2$, $k_3$, $k_4$, and $k_5$ be circles with the centers $S_1$, $S_2$, $S_3$, $S_4$, and $S_2$ (again) and radii $r_1=3\,\mathrm{cm}$, $r_2=2\,\mathrm{cm}$, $r_3=1.5\,\mathrm{cm}$, $r_4=1.5\,\mathrm{cm}$, and $r_5=8\,\mathrm{cm}$ respectively. Determine the relative position of the circles.
\kern 6em
Answer Header 1:
\begin{minipage}{3cm}
\centering
the circles intersect at two distinct points
\end{minipage}
Answer Header 2:
\begin{minipage}{3cm}\centering the circles touch externally\end{minipage}
Answer Header 3:
\begin{minipage}{3cm}\centering the circles touch internally\end{minipage}
Answer Header 4:
\begin{minipage}{3cm}\centering the circles have no point of intersection and one circle is contained in the other\end{minipage}
Question Row 1:
$k_3$, $k_4$
Answer Row 1:
1
Question Row 2:
$k_1$, $k_2$
Answer Row 2:
2
Question Row 3:
$k_1$, $k_3$
Answer Row 3:
3
Question Row 4:
$k_1$, $k_4$
Answer Row 4:
4
Question Row 5:
$k_1$, $k_5$
Answer Row 5:
3
Question Row 6:
$k_2$, $k_3$
Answer Row 6:
2
Tex:
% tiket 32492
\MsrTabulka[1pt]{0.15\linewidth}{0.85\linewidth}
\pocetsloupcu{4}