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
101	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{6} + \frac{y ^{2}}{\frac{267}{100}} = 1$	4
102	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 8 ) ^{2}}{25} = 1$	4
103	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{1} + \frac{( y + 3 ) ^{2}}{9} = 1$	4
104	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{196} + \frac{y ^{2}}{169} = 1$	4
105	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{16} + \frac{( y + 5 ) ^{2}}{9} = 1$	4
106	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{7} = 1$	4
107	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1$	4
108	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{40} + \frac{y ^{2}}{24} = 1$	4
109	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{91 ( x + 1 ) ^{2}}{1} + \frac{( y + 3 ) ^{2}}{9} = 1$	4
110	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{9} = 1$	4
111	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{36 ( x + 1 ) ^{2}}{1} + \frac{( y - 8 ) ^{2}}{2} = 1$	4
112	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{36} + \frac{y ^{2}}{49} = 1$	4
113	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{2} + \frac{y ^{2}}{1} = 1$	4
114	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{4} = 1$	4
115	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{64} + \frac{( y - 5 ) ^{2}}{100} = 1$	4
116	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{49} + \frac{( y + 2 ) ^{2}}{121} = 1$	4
117	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
118	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
119	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{9} = 1$	4
120	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
121	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{4} = 1$	4
122	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
123	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
124	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
125	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{25} + \frac{( y - 5 ) ^{2}}{16} = 1$	4
126	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
127	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
128	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
129	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{1} + \frac{( y + 1 ) ^{2}}{\frac{1}{5}} = 1$	4
130	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{9} + \frac{( y - 5 ) ^{2}}{4} = 1$	4
131	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{36} + \frac{( y - 3 ) ^{2}}{25} = 1$	4
132	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{4} + \frac{( y - 2 ) ^{2}}{9} = 1$	4
133	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
134	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{25} = 1$	4
135	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{1} + \frac{( y + 2 ) ^{2}}{5} = 1$	4
136	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1$	4
137	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{30} + \frac{y ^{2}}{10} = 1$	4
138	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $9 x^{2} + y^{2} = 81$	4
139	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{49} = 1$	4
140	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 12 ) ^{2}}{10} + \frac{( y - 10 ) ^{2}}{5} = 1$	4
141	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{15} + \frac{y ^{2}}{5} = 1$	4
142	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{4 ( x + 5 ) ^{2}}{1} + \frac{9 ( y + 5 ) ^{2}}{1} = 1$	4
143	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{\frac{1}{10}} + \frac{( y - 1 ) ^{2}}{5} = 1$	4
144	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{36} = 1$	4
145	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{15} + \frac{y ^{2}}{30} = 1$	3
146	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + 49 y^{2} = 784$	3
147	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
148	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
149	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
150	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