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
451	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 5 }{ 2 } } + \dfrac{ y^2}{ 2 } = 1 $$	2
452	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 20x^2 + 25y^2 = 1 $$	2
453	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 8x^2 + \frac{ 37 }{ 10 }y^2 = 1 $$	2
454	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 1 } + \dfrac{ \left( y + 1 \right)^2}{ 81 } = 1 $$	2
455	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 0.9573y^2 = 1 $$	2
456	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 15 \right)^2}{ 2 } + \dfrac{ \left( y + 2 \right)^2}{ 2 } = 1 $$	2
457	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ \frac{ 191 }{ 2 } } + \dfrac{ \left( y - 1 \right)^2}{ 75 } = 1 $$	2
458	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 10 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$	2
459	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 154 } + \dfrac{ y^2}{ 62 } = 1 $$	2
460	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 3 } = 1 $$	2
461	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$	2
462	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 16 } + \dfrac{ \left( y - 1 \right)^2}{ 49 } = 1 $$	2
463	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 780 } + \dfrac{ y^2}{ 450 } = 1 $$	2
464	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 59 } + \dfrac{ y^2}{ 64 } = 1 $$	2
465	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1156 } + \dfrac{ y^2}{ 900 } = 1 $$	2
466	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ \sqrt{ 8 } } = 1 $$	2
467	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 25 } = 1 $$	2
468	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 17 }{ 2 } \right)^2}{ 25 } + \dfrac{ \left( y + 2 \right)^2}{ 144 } = 1 $$	2
469	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$	2
470	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x + 18 \right)^2}{ 1 } + \dfrac{ 4 \left( y + 40 \right)^2}{ 1 } = 1 $$	2
471	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
472	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
473	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
474	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
475	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
476	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + y^2 = 27 $$	2
477	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
478	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
479	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
480	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
481	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
482	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
483	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
484	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 15x^2 + 7y^2 = 105 $$	2
485	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 9 } = 1 $$	2
486	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 2x^2 + 5y^2 = 50 $$	2
487	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 6 $$	2
488	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
489	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
490	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
491	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
492	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
493	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 16x^2 + 9y^2 = 144 $$	2
494	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 1 } = 1 $$	2
495	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ y^2}{ 4 } = 1 $$	2
496	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 4 } = 1 $$	2
497	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 16 } = 1 $$	2
498	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 97 } = 1 $$	2
499	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 42 } + \dfrac{ y^2}{ 49 } = 1 $$	2
500	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 42 } = 1 $$	2