Ellipse
(the database of solved problems)
All the problems and solutions shown below were generated using the Ellipse Calculator.
| ID |
Problem |
Count |
| 1251 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 676 } + \dfrac{ y^2}{ 100 } = 1 $$ | 1 |
| 1252 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 225 } + \dfrac{ y^2}{ 625 } = 1 $$ | 1 |
| 1253 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 60 } + \dfrac{ y^2}{ 64 } = 1 $$ | 1 |
| 1254 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 625 } + \dfrac{ y^2}{ 225 } = 1 $$ | 1 |
| 1255 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 81 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$ | 1 |
| 1256 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 144 } + \dfrac{ \left( y + 3 \right)^2}{ 9 } = 1 $$ | 1 |
| 1257 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 6 \right)^2}{ 36 } + \dfrac{ \left( y + 6 \right)^2}{ 25 } = 1 $$ | 1 |
| 1258 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 36 } + \dfrac{ \left( y - 4 \right)^2}{ 25 } = 1 $$ | 1 |
| 1259 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 25 } + \dfrac{ \left( y - 4 \right)^2}{ 36 } = 1 $$ | 1 |
| 1260 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 49 } + \dfrac{ \left( y + 1 \right)^2}{ 33 } = 1 $$ | 1 |
| 1261 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 5 } + \dfrac{ \left( y + 1 \right)^2}{ 9 } = 1 $$ | 1 |
| 1262 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 81 } + \dfrac{ \left( y + 4 \right)^2}{ 65 } = 1 $$ | 1 |
| 1263 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 1 } + \dfrac{ \left( y - 3 \right)^2}{ 65 } = 1 $$ | 1 |
| 1264 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 9 } + \dfrac{ \left( y + 3 \right)^2}{ 9 } = 1 $$ | 1 |
| 1265 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 21 } + \dfrac{ \left( y + 12 \right)^2}{ 120 } = 1 $$ | 1 |
| 1266 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 49x^2 + 7y^2 = 49 $$ | 1 |
| 1267 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 3x^2 + 4y^2 = 24 $$ | 1 |
| 1268 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 3x^2 + 4y^2 = 24 $$ | 1 |
| 1269 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 1 }{ 2 } } + \dfrac{ y^2}{ \frac{ 3 }{ 2 } } = 1 $$ | 1 |
| 1270 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$ | 1 |
| 1271 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 49 } + \dfrac{ y^2}{ 9 } = 1 $$ | 1 |
| 1272 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 16x^2 + 121y^2 = 1936 $$ | 1 |
| 1273 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 18 } + \dfrac{ \left( y + 1 \right)^2}{ 20 } = 1 $$ | 1 |
| 1274 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 18 } + \dfrac{ \left( y - 1 \right)^2}{ 20 } = 1 $$ | 1 |
| 1275 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 4 } + \dfrac{ \left( y - \frac{ 9 }{ 2 } \right)^2}{ 9 } = 1 $$ | 1 |
| 1276 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 42 } + \dfrac{ y^2}{ 32 } = 1 $$ | 1 |
| 1277 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 9 } + \dfrac{ \left( y - 1 \right)^2}{ 25 } = 1 $$ | 1 |
| 1278 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 15 } = 1 $$ | 1 |
| 1279 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 7 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
| 1280 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 625 } + \dfrac{ y^2}{ 49 } = 1 $$ | 1 |
| 1281 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 41 } = 1 $$ | 1 |
| 1282 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 18 \right)^2}{ 400 } + \dfrac{ y^2}{ \frac{ 78751 }{ 200 } } = 1 $$ | 1 |
| 1283 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 18 \right)^2}{ 1 } + \dfrac{ \left( y + 12 \right)^2}{ \frac{ 78751 }{ 200 } } = 1 $$ | 1 |
| 1284 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 400 } + \dfrac{ \left( y + 12 \right)^2}{ \frac{ 78751 }{ 200 } } = 1 $$ | 1 |
| 1285 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 18 \right)^2}{ 400 } + \dfrac{ \left( y + 12 \right)^2}{ 1 } = 1 $$ | 1 |
| 1286 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 8y^2 = 72 $$ | 1 |
| 1287 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ 2 \left( y - 3 \right)^2}{ 1 } = 1 $$ | 1 |
| 1288 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 169 } + \dfrac{ \left( y + 1 \right)^2}{ 144 } = 1 $$ | 1 |
| 1289 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ \left( y - 4 \right)^2}{ 81 } = 1 $$ | 1 |
| 1290 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 11 \right)^2}{ 22 } + \dfrac{ \left( y - 17 \right)^2}{ 20 } = 1 $$ | 1 |
| 1291 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 6 } + \dfrac{ y^2}{ 8 } = 1 $$ | 1 |
| 1292 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 8 } = 1 $$ | 1 |
| 1293 | 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 |
| 1294 | 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 |
| 1295 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 9 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$ | 1 |
| 1296 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 5 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$ | 1 |
| 1297 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ \frac{ 23 }{ 5 } } + \dfrac{ \left( y + 2 \right)^2}{ 5 } = 1 $$ | 1 |
| 1298 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 12 } + \dfrac{ \left( y - 4 \right)^2}{ 36 } = 1 $$ | 1 |
| 1299 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 9 } + \dfrac{ y^2}{ 3 } = 1 $$ | 1 |
| 1300 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$ | 1 |
