Ellipse

(the database of solved problems)

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

Select category

ID	Problem	Count
501	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x + 3 \right)^2}{ 48 } + \dfrac{ 4 \left( y - 2 \right)^2}{ 48 } = 1 $$	2
502	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 100 } + \dfrac{ \left( y + 5 \right)^2}{ 676 } = 1 $$	2
503	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 25 } + \dfrac{ \left( y - 4 \right)^2}{ 4 } = 1 $$	2
504	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 25 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$	2
505	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 10 } + \dfrac{ y^2}{ 36 } = 1 $$	2
506	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 60 } + \dfrac{ y^2}{ 24 } = 1 $$	2
507	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 49x^2 + 16y^2 = 784 $$	2
508	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 5 } + \dfrac{ \left( y - 1 \right)^2}{ 15 } = 1 $$	2
509	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$	2
510	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 81 } = 1 $$	2
511	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 64 } = 1 $$	2
512	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ 1600 } = 1 $$	2
513	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 36 } + \dfrac{ \left( y - 5 \right)^2}{ 4 } = 1 $$	2
514	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 16 } + \dfrac{ \left( y - 4 \right)^2}{ 9 } = 1 $$	2
515	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ y^2}{ 36 } = 1 $$	2
516	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ 25 } = 1 $$	2
517	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 3 } + \dfrac{ y^2}{ 9 } = 1 $$	2
518	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 181 }{ 10 } } + \dfrac{ y^2}{ \frac{ 91 }{ 10 } } = 1 $$	2
519	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 1 $$	2
520	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 6 \right)^2}{ 25 } + \dfrac{ \left( y - 7 \right)^2}{ 37 } = 1 $$	2
521	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 34869 }{ 2 } } + \dfrac{ y^2}{ 6532 } = 1 $$	2
522	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 11 }{ 2 } } + \dfrac{ y^2}{ \frac{ 11 }{ 5 } } = 1 $$	2
523	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 4 \left( x - 2 \right)^2}{ 64 } + \dfrac{ 16 \left( y + 3 \right)^2}{ 64 } = 1 $$	2
524	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 1 } = 1 $$	2
525	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 4 } + \dfrac{ \left( y - 1 \right)^2}{ 1 } = 1 $$	2
526	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 17 } = 1 $$	2
527	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 45 } + \dfrac{ \left( y + 4 \right)^2}{ 81 } = 1 $$	2
528	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 64 } + \dfrac{ y^2}{ 36 } = 1 $$	2
529	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 16 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
530	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 12 } = 1 $$	2
531	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 533 } + \dfrac{ y^2}{ 1 } = 1 $$	2
532	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 35 } + \dfrac{ y^2}{ 25 } = 1 $$	2
533	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 4y^2 = 36 $$	2
534	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 0.0262 } + \dfrac{ y^2}{ 0.0194 } = 1 $$	2
535	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 12 } + \dfrac{ y^2}{ 6 } = 1 $$	2
536	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 25 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	2
537	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y + 5 \right)^2}{ 16 } = 1 $$	2
538	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 1 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$	2
539	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 70 } + \dfrac{ y^2}{ 16 } = 1 $$	2
540	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 12 } + \dfrac{ y^2}{ 13 } = 1 $$	2
541	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 2 } = 1 $$	2
542	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 25 } + \dfrac{ \left( y - 1 \right)^2}{ 36 } = 1 $$	2
543	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ \frac{ 5 }{ 2 } } = 1 $$	2
544	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y + 2 \right)^2}{ 21 } = 1 $$	2
545	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 9 } = 1 $$	2
546	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 125 } + \dfrac{ \left( y + 1 \right)^2}{ 49 } = 1 $$	2
547	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 25 } + \dfrac{ \left( y + 1 \right)^2}{ 49 } = 1 $$	2
548	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 25y^2 = 225 $$	2
549	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 36 } + \dfrac{ \left( y + 2 \right)^2}{ 27 } = 1 $$	2
550	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 8 \right)^2}{ 1 } + \dfrac{ y^2}{ 9 } = 1 $$	2