Ellipse

(the database of solved problems)

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

Select category

ID	Problem	Count
601	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 18 } + \dfrac{ \left( y - 2 \right)^2}{ 81 } = 1 $$	2
602	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 21 }{ 2 } \right)^2}{ 1 } + \dfrac{ \left( y + 1 \right)^2}{ \frac{ 1 }{ 100 } } = 1 $$	2
603	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 16 x^2}{ 1 } + \dfrac{ y^2}{ 1 } = 1 $$	2
604	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
605	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
606	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 6y^2 = 18 $$	2
607	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
608	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
609	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
610	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
611	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
612	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
613	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
614	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
615	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
616	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
617	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
618	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
619	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
620	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
621	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
622	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
623	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
624	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
625	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
626	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
627	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
628	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
629	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
630	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
631	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 100x^2 + 36y^2 = 3600 $$	2
632	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 25 } = 1 $$	2
633	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 625 } + \dfrac{ y^2}{ 100 } = 1 $$	2
634	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 625 } = 1 $$	2
635	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
636	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 25 \left( x - 2 \right)^2}{ 1031 } + \dfrac{ 9 \left( y + 4 \right)^2}{ 1031 } = 1 $$	2
637	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 44 } + \dfrac{ \left( y - 2 \right)^2}{ 18 } = 1 $$	2
638	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 144 } + \dfrac{ \left( y - 4 \right)^2}{ 1 } = 1 $$	2
639	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 16 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$	2
640	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 21 \right)^2}{ 1 } + \dfrac{ \left( y - 12 \right)^2}{ 11 } = 1 $$	2
641	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 81 } + \dfrac{ \left( y + 6 \right)^2}{ 49 } = 1 $$	2
642	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 9 } + \dfrac{ \left( y + 4 \right)^2}{ 4 } = 1 $$	2
643	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ \frac{ 121 }{ 4 } } = 1 $$	2
644	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 10 } + \dfrac{ \left( y + 8 \right)^2}{ 15 } = 1 $$	2
645	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
646	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
647	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ \frac{ 1 }{ 2 } } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	2
648	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ \frac{ 1 }{ 10 } } + \dfrac{ \left( y + 1 \right)^2}{ \frac{ 1 }{ 5 } } = 1 $$	2
649	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 8640.632 } + \dfrac{ y^2}{ 8637.8436 } = 1 $$	2
650	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 4 } + \dfrac{ \left( y - 1 \right)^2}{ 3 } = 1 $$	2