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
851	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
852	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 3 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{4} = 1$	1
853	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{16} + \frac{( y + 2 ) ^{2}}{25} = 1$	1
854	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{25} = 1$	1
855	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{100} = 1$	1
856	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{36} + \frac{y ^{2}}{20} = 1$	1
857	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{3 ( x + 1 ) ^{2}}{10} + \frac{12 ( y + 13 ) ^{2}}{10} = 1$	1
858	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{27}{2}} + \frac{y ^{2}}{\frac{15}{2}} = 1$	1
859	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1$	1
860	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{49} + \frac{y ^{2}}{25} = 1$	1
861	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{3} + \frac{y ^{2}}{10} = 1$	1
862	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{1}{2}} + \frac{y ^{2}}{\frac{21}{50}} = 1$	1
863	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{16} + \frac{( y + 5 ) ^{2}}{4} = 1$	1
864	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 5 ) ^{2}}{4} = 1$	1
865	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 5 ) ^{2}}{16} = 1$	1
866	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $5 x^{2} + 3 y^{2} = 1$	1
867	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{36} + \frac{y ^{2}}{64} = 1$	1
868	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{2} + \frac{y ^{2}}{1} = 1$	1
869	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 10 ) ^{2}}{1} + \frac{( y + 4 ) ^{2}}{169} = 1$	1
870	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{1922}{5}} + \frac{y ^{2}}{\frac{1919}{5}} = 1$	1
871	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{\frac{12}{5}} + \frac{y ^{2}}{2} = 1$	1
872	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 1 ) ^{2}}{3} + \frac{( y - 2 ) ^{2}}{1} = 1$	1
873	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 1 ) ^{2}}{36} + \frac{( y - 5 ) ^{2}}{4} = 1$	1
874	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{144} + \frac{y ^{2}}{625} = 1$	1
875	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $5 x^{2} + 10 y^{2} = 1$	1
876	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{36} + \frac{( y + 4 ) ^{2}}{64} = 1$	1
877	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 6 ) ^{2}}{36} = 1$	1
878	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $16 x^{2} + y^{2} = 64$	1
879	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{1} = 1$	1
880	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 3 ) ^{2}}{10} + \frac{y ^{2}}{24} = 1$	1
881	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1$	1
882	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{16} = 1$	1
883	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{9} = 1$	1
884	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{16} + \frac{y ^{2}}{25} = 1$	1
885	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{49} + \frac{y ^{2}}{16} = 1$	1
886	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{9} + \frac{y ^{2}}{49} = 1$	1
887	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{30} + \frac{y ^{2}}{40} = 1$	1
888	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{1} + \frac{y ^{2}}{36} = 1$	1
889	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{100} + \frac{y ^{2}}{144} = 1$	1
890	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{144} + \frac{y ^{2}}{100} = 1$	1
891	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{263} + \frac{y ^{2}}{100} = 1$	1
892	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{100} + \frac{y ^{2}}{25} = 1$	1
893	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{625} + \frac{y ^{2}}{100} = 1$	1
894	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{75} + \frac{y ^{2}}{43} = 1$	1
895	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{15} + \frac{y ^{2}}{13} = 1$	1
896	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{30} + \frac{y ^{2}}{56} = 1$	1
897	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x - 7 ) ^{2}}{11} + \frac{( y - 3 ) ^{2}}{36} = 1$	1
898	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{( x + 2 ) ^{2}}{2} + \frac{( y + 3 ) ^{2}}{3} = 1$	1
899	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{81} + \frac{y ^{2}}{\frac{11025}{4}} = 1$	1
900	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse: $\frac{x ^{2}}{225} + \frac{y ^{2}}{\frac{10599}{5}} = 1$	1