Hyperbola Analysis
Urči ohniská, orientáciu, súradnice vrcholov a asymptóty hyperboly:
\( \normalsize\frac{\left(x-1\right)^2}{25}-\frac{\left(y-4\right)^2}{9}=1 \)
\( {{\normalsize S}}\normalsize\left[1;4\right],a=5,b=3,e=\sqrt{34},{{\normalsize\mathbf{podle\:osy}}\normalsize\:y,{\normalsize V_1\left[-4;4\right],V_2\left[6;4\right],E\left[1-\sqrt{34};4\right],F\left[1+\sqrt{34};4\right],}}\normalsize a_1:3x-5y+17=0,a_2:3x+5y-23=0 \)
\( {{\normalsize S}}\normalsize\left[1;4\right],a=5,b=3,e=\sqrt{34},{{\normalsize\mathbf{podle\:osy}}\normalsize\:x,{\normalsize V_1\left[-4;4\right],V_2\left[6;4\right],E\left[1-\sqrt{34};4\right],F\left[1+\sqrt{34};4\right],}}\normalsize a_1:3x-5y+17=0,a_2:3x+5y-23=0 \)
\( {{\normalsize S}}\normalsize\left[1;4\right],a=5,b=3,e=\sqrt{34},{{\normalsize\mathbf{podle\:osy}}\normalsize\:x,{\normalsize V_1\left[-4;4\right],V_2\left[6;4\right],E\left[1-\sqrt{34};4\right],F\left[1+\sqrt{34};4\right],}}\normalsize a_1:3x-5y+19=0,a_2:3x+5y-23=0 \)
\( {{\normalsize S}}\normalsize\left[1;4\right],a=5,b=3,e=\sqrt{34},{{\normalsize\mathbf{podle\:osy}}\normalsize\:x,{\normalsize V_1\left[-4;4\right],V_2\left[6;4\right],E\left[1-\sqrt{34};4\right],F\left[1+\sqrt{34};4\right],}}\normalsize a_1:3x-5y+17=0,a_2:3x+5y-25=0 \)