Ellipse

(the database of solved problems)

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

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ID	Problem	Count
51	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 6 ) ^{2}}{49} + \frac{( y + 3 ) ^{2}}{64} = 1$	6
52	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{24} + \frac{y ^{2}}{12} = 1$	6
53	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{9}{2}} + \frac{y ^{2}}{2} = 1$	6
54	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{25}{4}} + \frac{y ^{2}}{25} = 1$	6
55	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{2} + \frac{y ^{2}}{4} = 1$	6
56	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{144} + \frac{y ^{2}}{169} = 1$	6
57	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{81} + \frac{( y + 11 ) ^{2}}{36} = 1$	6
58	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{16} = 1$	6
59	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{\frac{1}{10}} + \frac{( y + 1 ) ^{2}}{5} = 1$	6
60	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{25} = 1$	6
61	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{8} + \frac{y ^{2}}{4} = 1$	6
62	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 8 ) ^{2}}{4} + \frac{( y + 10 ) ^{2}}{25} = 1$	5
63	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 8 ) ^{2}}{25} + \frac{( y + 9 ) ^{2}}{16} = 1$	5
64	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{436} = 1$	5
65	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $25 x^{2} + 94 y^{2} = 100$	5
66	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{1} + \frac{( y + 2 ) ^{2}}{5} = 1$	5
67	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{7} = 1$	5
68	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{25} = 1$	5
69	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{( y - 2 ) ^{2}}{9} = 1$	5
70	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{1} = 1$	5
71	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{144} + \frac{( y - 1 ) ^{2}}{121} = 1$	5
72	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 9 ) ^{2}}{121} + \frac{( y + 8 ) ^{2}}{16} = 1$	5
73	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{16} = 1$	5
74	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{9} = 1$	5
75	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{16} + \frac{( y + 6 ) ^{2}}{32} = 1$	5
76	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{9} + \frac{( y + 5 ) ^{2}}{4} = 1$	5
77	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{2} = 1$	5
78	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{1} = 1$	5
79	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 7 ) ^{2}}{100} + \frac{( y + 5 ) ^{2}}{64} = 1$	5
80	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{49} + \frac{y ^{2}}{16} = 1$	5
81	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{64} + \frac{y ^{2}}{16} = 1$	5
82	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{3} + \frac{y ^{2}}{4} = 1$	5
83	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{49} = 1$	5
84	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{2} + \frac{( y - 1 ) ^{2}}{1} = 1$	5
85	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{49} + \frac{y ^{2}}{36} = 1$	5
86	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{9} = 1$	5
87	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{36} + \frac{( y + 6 ) ^{2}}{196} = 1$	5
88	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 9 ) ^{2}}{121} + \frac{( y + 8 ) ^{2}}{16} = 1$	4
89	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + \frac{7}{2} ) ^{2}}{\frac{11}{2}} + \frac{( y - 2 ) ^{2}}{3} = 1$	4
90	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{185} + \frac{( y + 5 ) ^{2}}{100} = 1$	4
91	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 10 ) ^{2}}{49} + \frac{( y - 10 ) ^{2}}{16} = 1$	4
92	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{4} = 1$	4
93	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 9 ) ^{2}}{\frac{1}{10}} + \frac{( y - 1 ) ^{2}}{5} = 1$	4
94	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{4} = 1$	4
95	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{25} + \frac{y ^{2}}{16} = 1$	4
96	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{5} + \frac{y ^{2}}{3} = 1$	4
97	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{\frac{3}{2}} = 1$	4
98	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 10 ) ^{2}}{16} + \frac{( y + 9 ) ^{2}}{36} = 1$	4
99	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1$	4
100	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 4 ) ^{2}}{25} = 1$	4