Ellipse

(the database of solved problems)

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

Select category

ID	Problem	Count
351	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
352	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 100x^2 + 36y^2 = 3600 $$	2
353	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 8 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 36 } = 1 $$	2
354	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 36 } = 1 $$	2
355	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 15129 }{ 4 } } + \dfrac{ y^2}{ \frac{ 15876 }{ 25 } } = 1 $$	2
356	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
357	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 36 } = 1 $$	2
358	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 16 } + \dfrac{ \left( y - 4 \right)^2}{ 25 } = 1 $$	2
359	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 13 } + \dfrac{ y^2}{ 2 } = 1 $$	2
360	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 9 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$	2
361	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
362	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 256 } + \dfrac{ y^2}{ 192 } = 1 $$	2
363	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + y^2 = 27 $$	2
364	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 2 \left( x + 2 \right)^2}{ 2 } + \dfrac{ 2 \left( y + 2 \right)^2}{ 2 } = 1 $$	2
365	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 60 } = 1 $$	2
366	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 25 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
367	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ \frac{ 9471 }{ 100 } } = 1 $$	2
368	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y + 4 \right)^2}{ 9 } = 1 $$	2
369	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 8 \right)^2}{ 64 } + \dfrac{ \left( y - 1 \right)^2}{ 49 } = 1 $$	2
370	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 81 } + \dfrac{ \left( y + 9 \right)^2}{ 16 } = 1 $$	2
371	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 32 }{ 5 } \right)^2}{ \frac{ 1 }{ 2 } } + \dfrac{ \left( y - \frac{ 11 }{ 5 } \right)^2}{ \frac{ 1 }{ 5 } } = 1 $$	2
372	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 899 }{ 100 } \right)^2}{ \frac{ 19 }{ 100 } } + \dfrac{ \left( y - \frac{ 53 }{ 20 } \right)^2}{ \frac{ 49 }{ 100 } } = 1 $$	2
373	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ \left( y + 1 \right)^2}{ 16 } = 1 $$	2
374	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 10 \right)^2}{ 121 } + \dfrac{ \left( y + 3 \right)^2}{ 49 } = 1 $$	2
375	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 293 }{ 25 } \right)^2}{ \frac{ 1 }{ 4 } } + \dfrac{ \left( y - \frac{ 131 }{ 50 } \right)^2}{ \frac{ 9 }{ 20 } } = 1 $$	2
376	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 49 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$	2
377	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 50 } + \dfrac{ y^2}{ 16 } = 1 $$	2
378	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 49 } = 1 $$	2
379	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 49 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$	2
380	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 64 } + \dfrac{ \left( y + 1 \right)^2}{ 25 } = 1 $$	2
381	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 25 } + \dfrac{ \left( y + 1 \right)^2}{ 64 } = 1 $$	2
382	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 12 } + \dfrac{ \left( y + 6 \right)^2}{ 11 } = 1 $$	2
383	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 16 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
384	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 45 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$	2
385	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 25 } = 1 $$	2
386	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 10 } = 1 $$	2
387	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \sqrt{ 6 } } + \dfrac{ y^2}{ \sqrt{ 7 } } = 1 $$	2
388	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 9 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$	2
389	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 1 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$	2
390	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 1 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	2
391	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
392	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
393	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
394	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
395	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
396	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 6y^2 = 18 $$	2
397	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 36 } + \dfrac{ \left( y + 3 \right)^2}{ 4 } = 1 $$	2
398	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 36 } = 1 $$	2
399	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 15x^2 + 7y^2 = 105 $$	2
400	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 8 } = 1 $$	2