Ellipse

(the database of solved problems)

All the problems and solutions shown below were generated using the Ellipse Calculator.

Select category

ID	Problem	Count
201	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{9} = 1$	3
202	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{4} + \frac{( y + 5 ) ^{2}}{25} = 1$	3
203	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{1} = 1$	3
204	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{9} = 1$	3
205	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{16} = 1$	3
206	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{25} + \frac{( y + 4 ) ^{2}}{9} = 1$	3
207	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{3} + \frac{y ^{2}}{5} = 1$	3
208	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{9} = 1$	3
209	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{100} = 1$	3
210	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{3} + \frac{y ^{2}}{9} = 1$	3
211	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{18} + \frac{( y - 2 ) ^{2}}{81} = 1$	2
212	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{16} = 1$	2
213	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{4} = 1$	2
214	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{100} + \frac{( y + 5 ) ^{2}}{676} = 1$	2
215	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{4} = 1$	2
216	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{181}{10}} + \frac{y ^{2}}{\frac{91}{10}} = 1$	2
217	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1$	2
218	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{4} = 1$	2
219	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{36} + \frac{y ^{2}}{100} = 1$	2
220	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{9} = 1$	2
221	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{25} = 1$	2
222	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{81} + \frac{( y + 6 ) ^{2}}{49} = 1$	2
223	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 21 ) ^{2}}{1} + \frac{( y - 12 ) ^{2}}{11} = 1$	2
224	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{9 ( x + 3 ) ^{2}}{48} + \frac{4 ( y - 2 ) ^{2}}{48} = 1$	2
225	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{13} + \frac{y ^{2}}{2} = 1$	2
226	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{42} = 1$	2
227	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1$	2
228	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 7 ) ^{2}}{1} + \frac{( y - 2 ) ^{2}}{9} = 1$	2
229	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{42} + \frac{y ^{2}}{49} = 1$	2
230	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{97} = 1$	2
231	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{8} = 1$	2
232	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1$	2
233	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 10 ) ^{2}}{121} + \frac{( y + 7 ) ^{2}}{49} = 1$	2
234	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$	2
235	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{144} + \frac{( y - 4 ) ^{2}}{1} = 1$	2
236	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{2} + \frac{y ^{2}}{4} = 1$	2
237	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{1} = 1$	2
238	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + 9 y^{2} = 144$	2
239	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 2 y^{2} = 4$	2
240	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + \frac{1}{4} ) ^{2}}{\frac{3}{6}} + \frac{( y + \frac{1}{6} ) ^{2}}{\frac{1}{3}} = 1$	2
241	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + \frac{19}{5} ) ^{2}}{\frac{225}{4}} + \frac{( y - 6 ) ^{2}}{\frac{121}{4}} = 1$	2
242	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{5} + \frac{( y + \frac{3}{2} ) ^{2}}{\frac{3}{2}} = 1$	2
243	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $5 x^{2} + 2 y^{2} = 20$	2
244	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{256} + \frac{y ^{2}}{192} = 1$	2
245	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{4 ( x - 1 ) ^{2}}{\frac{3}{2}} + \frac{( y - 2 ) ^{2}}{3} = 1$	2
246	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + \frac{17}{10} ) ^{2}}{6} + \frac{y ^{2}}{15} = 1$	2
247	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - \frac{17}{10} ) ^{2}}{6} + \frac{y ^{2}}{15} = 1$	2
248	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{36} = 1$	2
249	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - \frac{7}{2} ) ^{2}}{4} + \frac{( y + \frac{5}{2} ) ^{2}}{2} = 1$	2
250	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $5 x^{2} + 9 y^{2} = 45$	2