Project ID:
7200000033
Accepted:
Typ:
Layout:
Question:
Spárujte analytické vyjádření přímek $p$ a $q$ s jejich průsečíkem.
Questions Title:
Analytické vyjádření přímek $p$ a $q$
Answers Title:
Průsečík přímek $p$ a $q$
Question 1:
\begin{aligned}
&p:\ x = -2,\ y = t,\ t\in\mathbb{R},\cr
&q:\ x = -3 + s,\ y = 1,\ s\in\mathbb{R}.
\end{aligned}
Answer 1:
$$[-2;1]$$
Question 2:
\begin{alignat}{2}
&p:\ x + 2 &&= 0,\cr
&q:\ y + 1 &&= 0.\cr
\end{alignat}
Answer 2:
$$[-2;-1]$$
Question 3:
\begin{alignat}{2}
&p:\ y &&= x - 3,\cr
&q:\ y &&= -x + 1.
\end{alignat}
Answer 3:
$$[2;-1]$$
Question 4:
\begin{aligned}
&p:\ 2x - y = 0,\cr
&q:\ x = 2 + s,\ y = 1 - s,\ s\in\mathbb{R}.
\end{aligned}
Answer 4:
$$[1;2]$$
Question 5:
\begin{aligned}
&p:\ x = 1 - t,\ y = -1 - t,\ t\in\mathbb{R},\cr
&q:\ y = x - 3.
\end{aligned}
Answer 5:
$$\emptyset$$
Question 6:
\begin{aligned}
&p:\ y = 2x,\cr
&q:\ x - y - 1 = 0.
\end{aligned}
Answer 6:
$$[-1;-2]$$
Question 7:
\begin{aligned}
&p:\ x = 1 + t,\ y = t,\ t\in\mathbb{R},\cr
&q:\ x + y - 3 = 0.
\end{aligned}
Answer 7:
$$[2;1]$$
Question 8:
\begin{aligned}
&p:\ x - y + 3 = 0,\cr
&q:\ y - 2 = 0.
\end{aligned}
Answer 8:
$$[-1;2]$$