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
501	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ \frac{ 136 }{ 25 } } + \dfrac{ \left( y - 5 \right)^2}{ 34 } = 1 $$	2
502	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$	2
503	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 36 } + \dfrac{ \left( y + 9 \right)^2}{ 49 } = 1 $$	2
504	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 16 \left( x + 2 \right)^2}{ 144 } + \dfrac{ 9 \left( y + 1 \right)^2}{ 144 } = 1 $$	2
505	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 30 } + \dfrac{ y^2}{ 20 } = 1 $$	2
506	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 64 } + \dfrac{ \left( y - 4 \right)^2}{ 16 } = 1 $$	2
507	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3 } + \dfrac{ \left( y + 1 \right)^2}{ 5 } = 1 $$	2
508	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 25 } + \dfrac{ \left( y + 6 \right)^2}{ 36 } = 1 $$	2
509	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
510	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
511	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
512	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
513	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
514	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
515	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
516	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
517	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
518	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
519	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 25 } = 1 $$	2
520	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 4 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$	2
521	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 10 \right)^2}{ 121 } + \dfrac{ \left( y + 7 \right)^2}{ 49 } = 1 $$	2
522	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 9 \right)^2}{ 16 } + \dfrac{ \left( y + 9 \right)^2}{ 25 } = 1 $$	2
523	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ \frac{ 1 }{ 10 } } + \dfrac{ \left( y + 10 \right)^2}{ 1 } = 1 $$	2
524	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 3y^2 = \frac{ 3 }{ 2 } $$	2
525	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 25 \left( x + 2 \right)^2}{ 72 } + \dfrac{ 16 \left( y - 2 \right)^2}{ 72 } = 1 $$	2
526	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 25 } + \dfrac{ \left( y - 4 \right)^2}{ 9 } = 1 $$	2
527	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 9 } + \dfrac{ \left( y + 5 \right)^2}{ 16 } = 1 $$	2
528	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$	2
529	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
530	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 4 } + \dfrac{ \left( y - 4 \right)^2}{ 9 } = 1 $$	2
531	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 9 } + \dfrac{ \left( y + 4 \right)^2}{ 16 } = 1 $$	2
532	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 1 }{ 11 } } + \dfrac{ y^2}{ \frac{ 1 }{ 14 } } = 1 $$	2
533	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 3 \left( x - 3 \right)^2}{ 1 } + \dfrac{ \frac{ 4 }{ 3 } \left( y + 5 \right)^2}{ 1 } = 1 $$	2
534	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 25 } + \dfrac{ \left( y - 8 \right)^2}{ 1 } = 1 $$	2
535	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 1 } + \dfrac{ \left( y + 1 \right)^2}{ 36 } = 1 $$	2
536	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 4 } + \dfrac{ \left( y + 3 \right)^2}{ 36 } = 1 $$	2
537	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 4 } + \dfrac{ \left( y + 1 \right)^2}{ 64 } = 1 $$	2
538	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 2 \left( x + 10 \right)^2}{ \frac{ 9 }{ 2 } } + \dfrac{ 3 \left( y + \frac{ 41 }{ 10 } \right)^2}{ 12 } = 1 $$	2
539	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 12x^2 + 15y^2 = 1 $$	2
540	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
541	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 144 } + \dfrac{ y^2}{ 169 } = 1 $$	2
542	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 1 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$	2
543	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 1 } + \dfrac{ \left( y + 5 \right)^2}{ \frac{ 1 }{ 4 } } = 1 $$	2
544	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
545	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 25 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$	2
546	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 64 } + \dfrac{ \left( y + 4 \right)^2}{ 9 } = 1 $$	2
547	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 54 } + \dfrac{ y^2}{ 3261 } = 1 $$	2
548	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3261 } + \dfrac{ y^2}{ 54 } = 1 $$	2
549	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3 } + \dfrac{ y^2}{ 54 } = 1 $$	2
550	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