9000090903
Level:
C
Given the line
\[
p\colon 3x - 2y + 11 = 0,
\]
find \(m\in \mathbb{R}\) such that
the point \(C = [m;0]\)
is on the line \(p\).
\(m = -\frac{11}
{3} \)
\(m = -1\)
\(m = 11\)
\(m = -\frac{1}
{11}\)
\(m = 2\)
Analytical Plane Geometry
9000090902
Level:
C
Given the parametric line \(p\),
find \(m\in \mathbb{R}\) such that
the point \(C = [m;3]\)
is on the line \(p\).
\[
\begin{aligned}p\colon x& = 1 - t, &
\\y & = -3 + 2t;\ t\in \mathbb{R}
\\ \end{aligned}
\]
\(m = -2\)
\(m = 4\)
\(m = 11\)
\(m = -\frac{11}
{3} \)
\(m = \frac{3}
{2}\)
9000090901
Level:
C
Given two points \(A = [2;5]\)
and \(B = [-3;2]\), identify a
number \(m\in \mathbb{R}\) such
that the point \(C = [1;m]\)
is on the line \(AB\).
\(m = \frac{22}
{5} \)
\(m = 20\)
\(m = -3\)
\(m = \frac{2}
{3}\)
\(m = -\frac{5}
{2}\)
9000090904
Level:
C
Given lines \(p\)
and \(q\), find
\(m\in \mathbb{R}\) such that
the lines \(p\)
and \(q\)
are parallel.
\[
p\colon x - 2y + 7 = 0,\qquad q\colon mx + 3y - 11 = 0
\]
\(m = -\frac{3}
{2}\)
\(m = \frac{2}
{3}\)
\(m = \frac{3}
{2}\)
\(m = -\frac{2}
{3}\)
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