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
801	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 9 ) ^{2}}{121} + \frac{y ^{2}}{16} = 1$	1
802	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{81} + \frac{( y + 5 ) ^{2}}{16} = 1$	1
803	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + 9 y^{2} = 144$	1
804	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 4 y^{2} = 4$	1
805	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $15 x^{2} + 7 y^{2} = 105$	1
806	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $2 x^{2} + 5 y^{2} = 50$	1
807	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{7} + \frac{y ^{2}}{1} = 1$	1
808	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{3} + \frac{y ^{2}}{1} = 1$	1
809	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{9} = 1$	1
810	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{9} = 1$	1
811	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 9 y^{2} = 36$	1
812	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{25} = 1$	1
813	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{55} + \frac{y ^{2}}{65} = 1$	1
814	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + 9 y^{2} = 144$	1
815	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 4 y^{2} = 4$	1
816	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 2 y^{2} = 6$	1
817	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $9 x^{2} + y^{2} = 27$	1
818	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{3} = 1$	1
819	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1$	1
820	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{12} + \frac{y ^{2}}{16} = 1$	1
821	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $9 x^{2} + 10 y^{2} = 50$	1
822	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $9 x^{2} + y^{2} = 27$	1
823	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $15 x^{2} + 7 y^{2} = 105$	1
824	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 4 y^{2} = 4$	1
825	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1$	1
826	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1$	1
827	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{25 x ^{2}}{9} + \frac{9 ( y - 12 ) ^{2}}{25} = 1$	1
828	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{75} + \frac{y ^{2}}{50} = 1$	1
829	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{5} + \frac{y ^{2}}{24} = 1$	1
830	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{50000} + \frac{y ^{2}}{300000} = 1$	1
831	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{50000} + \frac{y ^{2}}{30000} = 1$	1
832	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $3 x^{2} + 6 y^{2} = 1$	1
833	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{100} + \frac{y ^{2}}{64} = 1$	1
834	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{25} + \frac{( y + 4 ) ^{2}}{4} = 1$	1
835	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{9} = 1$	1
836	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{1} + \frac{( y + 2 ) ^{2}}{9} = 1$	1
837	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{64} + \frac{y ^{2}}{36} = 1$	1
838	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{25} + \frac{y ^{2}}{4} = 1$	1
839	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{11}{2}} + \frac{y ^{2}}{\frac{33}{10}} = 1$	1
840	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{49} = 1$	1
841	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{6.1009} + \frac{y ^{2}}{12.1801} = 1$	1
842	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{6.1009} + \frac{y ^{2}}{15.5236} = 1$	1
843	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 12 ) ^{2}}{500} + \frac{( y - 10 ) ^{2}}{500} = 1$	1
844	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 4 ) ^{2}}{9} = 1$	1
845	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{9} = 1$	1
846	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $49 x^{2} + 16 y^{2} = 784$	1
847	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1$	1
848	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{4} = 1$	1
849	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{25} = 1$	1
850	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{9} = 1$	1