Vnitřní oblast
hyperboly

Přímka je rovnoběžná s asymptotou.
Má s hyperbolou jeden společný bod.
Obsahuje body vnější i vnitřní oblasti.

X

X

Přímka je totožná s asymptotou

y=\frac{2x}{3}

4x^2-9\left( \frac{2x}{3}  \right) ^2=36

0=36

Nemá řešení

Pohybujte posuvníkem

c = -19 (slider from -25 to 25, step 1)
a: 2 * x - 3 * y + c = 0
b, d = Asymptote(c_1)
A, B = Intersect(c_1, a)
text2: "k:" + (LaTeX[c_1]) + ""
text3: "p:" + (LaTeX[a]) + ""
text4: "y=\frac{2x+" + (LaTeX[c]) + "}{3}"
text5: "4x^2-9(\frac{2x+" + (LaTeX[c]) + "}{3})^2=36"
text6: "y=\frac{2x" + (LaTeX[c]) + "}{3}"
text7: "4x^2-9(\frac{2x" + (LaTeX[c]) + "}{3})^2=36"
k: 4 * c
l: c^(2)
text9: "4x^2-(4x^2+" + (LaTeX[k]) + "x+" + (LaTeX[l]) + ")=36"
C = (-1.01, 8.73)
D = (-1.01, 7.11)
E = (-0.95, 5.79)
m: l + 36
text11: "-" + (LaTeX[k]) + "x=" + (LaTeX[m]) + ""
x_1: x(A)
y_1: y(A)
text12: "x=" + (LaTeX[x_1]) + "⇒y=" + (LaTeX[y_1]) + ""
text13: "X=\left [" + (LaTeX[x_1]) + "," + (LaTeX[y_1]) + "  \right ] "
x_2: x(B)
y_2: y(B)
text16: "X=\left [ " + (LaTeX[x_2]) + "," + (LaTeX[y_2]) + " \right ] "
F = (-3.14, -5.43)
G = (-0.95, 4.47)
H = (-0.95, 3.6)
u: -k
text10: "4x^2-(4x^2" + (LaTeX[k]) + "x+" + (LaTeX[l]) + ")=36"
text20: "" + (LaTeX[u]) + "x=" + (LaTeX[m]) + ""
text21: "x=" + (LaTeX[x_2]) + "⇒y=" + (LaTeX[y_2]) + ""