Analýza hyperboly
Urči ohniska, orientaci, souřadnice vrcholů a asymptoty hyperboly:
\( \large \Large \frac{\left( y-1\right) ^2}{25}\large - \Large \frac{\left( x-4\right) ^2}{9}\large = 1 \)
\( \large{{S}}\left[4;1\right],\:a=5,\:b=3,\:e=\sqrt{34},{{podle\:osy\:y,\:V_1\left[4;-4\right],\:V_2\left[4;6\right],\:E\left[4;1-\sqrt{34}\right],\:F\left[4;1+\sqrt{34}\right]}},\:a_1:5x-3y-18=0,\:a_2:5x+3y-24=0 \)
\( \large{{S}}\left[4;1\right],\:a=5,\:b=3,\:e=\sqrt{34},{{podle\:osy\:x,\:V_1\left[4;-4\right],\:V_2\left[4;6\right],\:E\left[4;1-\sqrt{34}\right],\:F\left[4;1+\sqrt{34}\right]}},\:a_1:5x-3y-17=0,\:a_2:5x+3y-23=0 \)
\( \large{{S}}\left[4;1\right],\:a=5,\:b=3,\:e=\sqrt{34},{{podle\:osy\:y,\:V_1\left[4;-4\right],\:V_2\left[4;6\right],\:E\left[4;1-\sqrt{34}\right],\:F\left[4;1+\sqrt{34}\right]}},\:a_1:5x-3y-17=0,\:a_2:5x+3y-23=0 \)
\( \large{{S}}\left[4;1\right],\:a=5,\:b=3,\:e=\sqrt{34},{{podle\:osy\:y,\:V_1\left[4;-5\right],\:V_2\left[4;5\right],\:E\left[4;1-\sqrt{34}\right],\:F\left[4;1+\sqrt{34}\right]}},\:a_1:5x-3y-17=0,\:a_2:5x+3y-23=0 \)