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
751	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{1} = 1$	1
752	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{4} + \frac{( y - 1 ) ^{2}}{1} = 1$	1
753	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{1} = 1$	1
754	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{4} + \frac{( y - 2 ) ^{2}}{1} = 1$	1
755	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{5} + \frac{( y - 3 ) ^{2}}{4} = 1$	1
756	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{1} + \frac{( y + 3 ) ^{2}}{9} = 1$	1
757	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{25} = 1$	1
758	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
759	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{16} + \frac{( y - 3 ) ^{2}}{4} = 1$	1
760	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{144} + \frac{y ^{2}}{16} = 1$	1
761	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{9} = 1$	1
762	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 18 ) ^{2}}{1} + \frac{( y - 14 ) ^{2}}{11} = 1$	1
763	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{1} + \frac{( y - 15 ) ^{2}}{11} = 1$	1
764	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 11 ) ^{2}}{122} + \frac{y ^{2}}{131} = 1$	1
765	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 15 ) ^{2}}{\frac{11089}{250}} + \frac{( y - 13 ) ^{2}}{\frac{109621}{1000}} = 1$	1
766	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 5 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1$	1
767	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{49} = 1$	1
768	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{15} + \frac{( y - 8 ) ^{2}}{10} = 1$	1
769	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{10} + \frac{( y - 8 ) ^{2}}{15} = 1$	1
770	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{32} + \frac{y ^{2}}{36} = 1$	1
771	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{7} + \frac{y ^{2}}{6} = 1$	1
772	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $6 x^{2} + 2 y^{2} = 1$	1
773	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1$	1
774	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{16} = 1$	1
775	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{\frac{1}{2}} + \frac{( y - 2 ) ^{2}}{4} = 1$	1
776	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 7 ) ^{2}}{5.6169} + \frac{( y - \frac{27}{100} ) ^{2}}{\frac{961}{100}} = 1$	1
777	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{11}{10}} + \frac{( y + \frac{13}{2} ) ^{2}}{\frac{7}{2}} = 1$	1
778	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{( y + \frac{13}{2} ) ^{2}}{2} = 1$	1
779	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{40} = 1$	1
780	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
781	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{9} = 1$	1
782	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{9 ( x - 1 ) ^{2}}{1} + \frac{25 ( y + 2 ) ^{2}}{1} = 1$	1
783	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{18}{5}} + \frac{y ^{2}}{\frac{9}{2}} = 1$	1
784	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{3} = 1$	1
785	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1618} + \frac{y ^{2}}{1000} = 1$	1
786	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 4 ) ^{2}}{34} = 1$	1
787	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 4 ) ^{2}}{32} = 1$	1
788	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{( y + 1 ) ^{2}}{9} = 1$	1
789	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $4 x^{2} + y^{2} = 16$	1
790	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 20 ) ^{2}}{225} + \frac{( y - 20 ) ^{2}}{400} = 1$	1
791	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1$	1
792	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
793	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{16} = 1$	1
794	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{7} + \frac{y ^{2}}{9} = 1$	1
795	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - \frac{26}{5} ) ^{2}}{\frac{1}{200}} + \frac{( y - \frac{13}{10} ) ^{2}}{\frac{1}{10}} = 1$	1
796	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{49} + \frac{y ^{2}}{1} = 1$	1
797	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 15 ) ^{2}}{2} + \frac{( y - 2 ) ^{2}}{2} = 1$	1
798	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 15 ) ^{2}}{2} + \frac{( y + 2 ) ^{2}}{2} = 1$	1
799	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{4} + \frac{( y - 3 ) ^{2}}{1} = 1$	1
800	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{4 ( x + 3 ) ^{2}}{7} + \frac{9 ( y - 2 ) ^{2}}{11} = 1$	1