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Středová rovnice elipsy
Urči středovou rovnici elipsy, jestliže:
ohnisková vzdálenost je 3, hlavní poloosa je 5 a střed je \( [2; 3] \), orientace podle osy \( x \).
\( \large \Large \frac{\left( x-2\right) ^2}{16}\large + \Large \frac{\left( y-3\right) ^2}{ \frac{91}{4}}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{25}\large + \Large \frac{\left( y-3\right) ^2}{ \frac{81}{4}}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{36}\large + \Large \frac{\left( y-3\right) ^2}{ \frac{91}{4}}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{25}\large + \Large \frac{\left( y-3\right) ^2}{ \frac{91}{4}}\large = 1 \)