Ellipse
(the database of solved problems)
All the problems and solutions shown below were generated using the Ellipse Calculator.
| ID |
Problem |
Count |
| 1151 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 1 } + \dfrac{ \left( y + 4 \right)^2}{ 25 } = 1 $$ | 1 |
| 1152 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 28 } + \dfrac{ y^2}{ 22 } = 1 $$ | 1 |
| 1153 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 81 }{ 4 } } + \dfrac{ y^2}{ 9 } = 1 $$ | 1 |
| 1154 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 9 } + \dfrac{ \left( y - 5 \right)^2}{ 45 } = 1 $$ | 1 |
| 1155 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 9 } + \dfrac{ \left( y - 5 \right)^2}{ 36 } = 1 $$ | 1 |
| 1156 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 36 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$ | 1 |
| 1157 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 45 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$ | 1 |
| 1158 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 9 } + \dfrac{ \left( y - 3 \right)^2}{ 49 } = 1 $$ | 1 |
| 1159 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 144 } + \dfrac{ y^2}{ 196 } = 1 $$ | 1 |
| 1160 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 16 } + \dfrac{ \left( y + 5 \right)^2}{ 25 } = 1 $$ | 1 |
| 1161 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 64 } = 1 $$ | 1 |
| 1162 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y - 1 \right)^2}{ 25 } = 1 $$ | 1 |
| 1163 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 12x^2 + 3y^2 = 48 $$ | 1 |
| 1164 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 4 }{ 3 } } + \dfrac{ y^2}{ \frac{ 3 }{ 2 } } = 1 $$ | 1 |
| 1165 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 9 }{ 8 } } + \dfrac{ y^2}{ \frac{ 16 }{ 9 } } = 1 $$ | 1 |
| 1166 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \frac{ 4 }{ 3 }x^2 + \frac{ 3 }{ 2 }y^2 = 2 $$ | 1 |
| 1167 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 21 } + \dfrac{ \left( y - 4 \right)^2}{ 25 } = 1 $$ | 1 |
| 1168 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 16x^2 + 64y^2 = 4096 $$ | 1 |
| 1169 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 25 } = 1 $$ | 1 |
| 1170 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 36 } + \dfrac{ \left( y - 1 \right)^2}{ 16 } = 1 $$ | 1 |
| 1171 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 4 } = 1 $$ | 1 |
| 1172 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 25 } + \dfrac{ \left( y + 3 \right)^2}{ 4 } = 1 $$ | 1 |
| 1173 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 16 } + \dfrac{ \left( y - 4 \right)^2}{ 8 } = 1 $$ | 1 |
| 1174 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 9 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$ | 1 |
| 1175 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$ | 1 |
| 1176 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + 4y^2 = 11 $$ | 1 |
| 1177 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ \left( y - 3 \right)^2}{ 1 } = 1 $$ | 1 |
| 1178 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 4 } + \dfrac{ \left( y - 1 \right)^2}{ 1 } = 1 $$ | 1 |
| 1179 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 1 } = 1 $$ | 1 |
| 1180 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 1 } = 1 $$ | 1 |
| 1181 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 5 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$ | 1 |
| 1182 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 1 } + \dfrac{ \left( y + 3 \right)^2}{ 9 } = 1 $$ | 1 |
| 1183 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 25 } = 1 $$ | 1 |
| 1184 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 25 } = 1 $$ | 1 |
| 1185 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$ | 1 |
| 1186 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 144 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
| 1187 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 4 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$ | 1 |
| 1188 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 18 \right)^2}{ 1 } + \dfrac{ \left( y - 14 \right)^2}{ 11 } = 1 $$ | 1 |
| 1189 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 1 } + \dfrac{ \left( y - 15 \right)^2}{ 11 } = 1 $$ | 1 |
| 1190 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 11 \right)^2}{ 122 } + \dfrac{ y^2}{ 131 } = 1 $$ | 1 |
| 1191 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 15 \right)^2}{ \frac{ 11089 }{ 250 } } + \dfrac{ \left( y - 13 \right)^2}{ \frac{ 109621 }{ 1000 } } = 1 $$ | 1 |
| 1192 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$ | 1 |
| 1193 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 49 } = 1 $$ | 1 |
| 1194 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 15 } + \dfrac{ \left( y - 8 \right)^2}{ 10 } = 1 $$ | 1 |
| 1195 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 10 } + \dfrac{ \left( y - 8 \right)^2}{ 15 } = 1 $$ | 1 |
| 1196 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 36 } = 1 $$ | 1 |
| 1197 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \sqrt{ 7 } } + \dfrac{ y^2}{ \sqrt{ 6 } } = 1 $$ | 1 |
| 1198 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 6x^2 + 2y^2 = 1 $$ | 1 |
| 1199 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$ | 1 |
| 1200 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$ | 1 |
