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Rovnice hyperboly
Urči rovnici hyperboly:
souřadnice středu jsou \( [1; 2] \) a poloosy jsou \( a = 5 \) a \( b = 4 \), orientace podle osy \( x \).
\( \large \Large \frac{\left( x-1\right) ^2}{16}\large - \Large \frac{\left( y-2\right) ^2}{25}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{25}\large - \Large \frac{\left( y-1\right) ^2}{16}\large = 1 \)
\( \large \Large \frac{\left( x+1\right) ^2}{25}\large - \Large \frac{\left( y+2\right) ^2}{16}\large = 1 \)
\( \large \Large \frac{\left( x-1\right) ^2}{25}\large - \Large \frac{\left( y-2\right) ^2}{16}\large = 1 \)