Ellipse – Solved Problems Database
All the problems and solutions shown below were generated using the Ellipse Calculator.
ID |
Problem |
Count |
251 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 1 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$ | 1 |
252 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 54 } + \dfrac{ y^2}{ 36 } = 1 $$ | 1 |
253 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 10 } = 1 $$ | 1 |
254 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 3x^2 + 6y^2 = 6 $$ | 1 |
255 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 30 } = 1 $$ | 1 |
256 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 91 } + \dfrac{ y^2}{ 100 } = 1 $$ | 1 |
257 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 20 } + \dfrac{ y^2}{ 69 } = 1 $$ | 1 |
258 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 10 \right)^2}{ 81 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
259 | 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 |
260 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 10 \right)^2}{ 25 } + \dfrac{ y^2}{ 64 } = 1 $$ | 1 |
261 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ y^2}{ 1 } = 1 $$ | 1 |
262 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x - 3 \right)^2}{ 1 } + \dfrac{ 4 \left( y + 5 \right)^2}{ 1 } = 1 $$ | 1 |
263 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$ | 1 |
264 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 9 \right)^2}{ 16 } + \dfrac{ \left( y + 1 \right)^2}{ 13 } = 1 $$ | 1 |
265 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 4x^2 + y^2 = 1 $$ | 1 |
266 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 100 } = 1 $$ | 1 |
267 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 25 } = 1 $$ | 1 |
268 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 100 } = 1 $$ | 1 |
269 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + 16y^2 = 156 $$ | 1 |
270 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 4 \left( x + 1 \right)^2}{ \frac{ 3 }{ 2 } } + \dfrac{ \left( y - 2 \right)^2}{ 3 } = 1 $$ | 1 |
271 | 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 |
272 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 36 } = 1 $$ | 1 |
273 | 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 |
274 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 1 } = 1 $$ | 1 |
275 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 12x^2 + 3y^2 = 48 $$ | 1 |
276 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 36 } + \dfrac{ \left( y + 1 \right)^2}{ 9 } = 1 $$ | 1 |
277 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y - 5 \right)^2}{ 64 } = 1 $$ | 1 |
278 | 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 |
279 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$ | 1 |
280 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 16 } + \dfrac{ \left( y + 3 \right)^2}{ 9 } = 1 $$ | 1 |
281 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 43 \right)^2}{ 16 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$ | 1 |
282 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ y^2}{ 25 } = 1 $$ | 1 |
283 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 18 } + \dfrac{ y^2}{ \frac{ 12 }{ 5 } } = 1 $$ | 1 |
284 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 25 } + \dfrac{ \left( y + 3 \right)^2}{ 36 } = 1 $$ | 1 |
285 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1.5384 } + \dfrac{ y^2}{ 0.5541 } = 1 $$ | 1 |
286 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 9 } + \dfrac{ \left( y - 1 \right)^2}{ 36 } = 1 $$ | 1 |
287 | 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 |
288 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 4 } + \dfrac{ \left( y - 6 \right)^2}{ 25 } = 1 $$ | 1 |
289 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 1 } = 1 $$ | 1 |
290 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 25 } = 1 $$ | 1 |
291 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 4 } = 1 $$ | 1 |
292 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1.6143 } + \dfrac{ y^2}{ 0.4317 } = 1 $$ | 1 |
293 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ \left( y + 5 \right)^2}{ 1 } = 1 $$ | 1 |
294 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 4 } + \dfrac{ \left( y + 2 \right)^2}{ 9 } = 1 $$ | 1 |
295 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 225 } + \dfrac{ \left( y + 3 \right)^2}{ 144 } = 1 $$ | 1 |
296 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 0.2697 } + \dfrac{ y^2}{ \frac{ 51 }{ 250 } } = 1 $$ | 1 |
297 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 36 } + \dfrac{ \left( y + 6 \right)^2}{ 100 } = 1 $$ | 1 |
298 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 5 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$ | 1 |
299 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ y^2}{ 2 } = 1 $$ | 1 |
300 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 60 } = 1 $$ | 1 |