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
701	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{1} = 1$	1
702	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{7} + \frac{( y + 2 ) ^{2}}{3} = 1$	1
703	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 6 ) ^{2}}{4} = 1$	1
704	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{25} = 1$	1
705	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{18} + \frac{y ^{2}}{\frac{12}{5}} = 1$	1
706	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{5} + \frac{y ^{2}}{2} = 1$	1
707	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{1} = 1$	1
708	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $144 x^{2} + y^{2} = 144$	1
709	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1$	1
710	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{64} + \frac{( y + 4 ) ^{2}}{25} = 1$	1
711	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 5 ) ^{2}}{81} + \frac{( y - 1 ) ^{2}}{144} = 1$	1
712	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $x^{2} + 2 y^{2} = 1$	1
713	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{25} = 1$	1
714	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{36} = 1$	1
715	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{1} + \frac{( y + 3 ) ^{2}}{25} = 1$	1
716	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 8 ) ^{2}}{1} + \frac{( y + 2 ) ^{2}}{49} = 1$	1
717	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{4} + \frac{y ^{2}}{1} = 1$	1
718	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1.5384} + \frac{y ^{2}}{0.5541} = 1$	1
719	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1.6143} + \frac{y ^{2}}{0.4317} = 1$	1
720	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{0.2697} + \frac{y ^{2}}{\frac{51}{250}} = 1$	1
721	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{16} = 1$	1
722	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{36} = 1$	1
723	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{1} = 1$	1
724	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 9 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{13} = 1$	1
725	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{1} + \frac{( y + 4 ) ^{2}}{25} = 1$	1
726	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{28} + \frac{y ^{2}}{22} = 1$	1
727	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{81}{4}} + \frac{y ^{2}}{9} = 1$	1
728	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 5 ) ^{2}}{45} = 1$	1
729	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 5 ) ^{2}}{36} = 1$	1
730	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{36} + \frac{( y - 5 ) ^{2}}{9} = 1$	1
731	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{45} + \frac{( y - 5 ) ^{2}}{9} = 1$	1
732	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{49} = 1$	1
733	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{144} + \frac{y ^{2}}{196} = 1$	1
734	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{16} + \frac{( y + 5 ) ^{2}}{25} = 1$	1
735	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{64} = 1$	1
736	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1$	1
737	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $12 x^{2} + 3 y^{2} = 48$	1
738	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{4}{3}} + \frac{y ^{2}}{\frac{3}{2}} = 1$	1
739	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{9}{8}} + \frac{y ^{2}}{\frac{16}{9}} = 1$	1
740	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{4}{3} x^{2} + \frac{3}{2} y^{2} = 2$	1
741	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 4 ) ^{2}}{25} = 1$	1
742	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + 64 y^{2} = 4096$	1
743	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{25} = 1$	1
744	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{16} = 1$	1
745	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{4} = 1$	1
746	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{4} = 1$	1
747	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{16} + \frac{( y - 4 ) ^{2}}{8} = 1$	1
748	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 5 ) ^{2}}{9} = 1$	1
749	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1$	1
750	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $25 x^{2} + 4 y^{2} = 11$	1