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