Ellipse
(the database of solved problems)
All the problems and solutions shown below were generated using the Ellipse Calculator.
| ID |
Problem |
Count |
| 901 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ 200 } = 1 $$ | 1 |
| 902 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 25 \left( x - 1 \right)^2}{ 1 } + \dfrac{ 4 \left( y + 1 \right)^2}{ 1 } = 1 $$ | 1 |
| 903 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + 4y^2 = 71 $$ | 1 |
| 904 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 25 \left( x - 1 \right)^2}{ 4 } + \dfrac{ 4 \left( y + 1 \right)^2}{ 25 } = 1 $$ | 1 |
| 905 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 144 } + \dfrac{ \left( y + 6 \right)^2}{ 169 } = 1 $$ | 1 |
| 906 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$ | 1 |
| 907 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 25 } + \dfrac{ \left( y + 6 \right)^2}{ 49 } = 1 $$ | 1 |
| 908 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 789 }{ 100 } \right)^2}{ \frac{ 3 }{ 250 } } + \dfrac{ \left( y - \frac{ 199 }{ 20 } \right)^2}{ \frac{ 17 }{ 1000 } } = 1 $$ | 1 |
| 909 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 17 }{ 2 } } + \dfrac{ y^2}{ 7 } = 1 $$ | 1 |
| 910 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \frac{ 17 }{ 2 }x^2 + 7y^2 = 36 $$ | 1 |
| 911 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \frac{ 17 }{ 2 }x^2 + 7y^2 = 1 $$ | 1 |
| 912 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 16 } + \dfrac{ \left( y - 1 \right)^2}{ 25 } = 1 $$ | 1 |
| 913 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 25 } + \dfrac{ \left( y + 5 \right)^2}{ 16 } = 1 $$ | 1 |
| 914 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 4y^2 = 36 $$ | 1 |
| 915 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 12 } + \dfrac{ \left( y + 3 \right)^2}{ 36 } = 1 $$ | 1 |
| 916 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 16 } + \dfrac{ \left( y - 2 \right)^2}{ 12 } = 1 $$ | 1 |
| 917 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 16 } + \dfrac{ \left( y + 4 \right)^2}{ 12 } = 1 $$ | 1 |
| 918 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 12 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
| 919 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 12 } = 1 $$ | 1 |
| 920 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 16y^2 = 1 $$ | 1 |
| 921 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 16 } + \dfrac{ \left( y + 4 \right)^2}{ 25 } = 1 $$ | 1 |
| 922 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 16 } + \dfrac{ \left( y - 4 \right)^2}{ 25 } = 1 $$ | 1 |
| 923 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 27 } + \dfrac{ y^2}{ 36 } = 1 $$ | 1 |
| 924 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$ | 1 |
| 925 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y - 1 \right)^2}{ 16 } = 1 $$ | 1 |
| 926 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x - 1 \right)^2}{ 96 } + \dfrac{ 16 \left( y + 1 \right)^2}{ 96 } = 1 $$ | 1 |
| 927 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 72 } + \dfrac{ y^2}{ 36 } = 1 $$ | 1 |
| 928 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 6400 } + \dfrac{ y^2}{ 3600 } = 1 $$ | 1 |
| 929 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 6 \left( x + 7 \right)^2}{ 11 } + \dfrac{ 4 \left( y + 2 \right)^2}{ 1 } = 1 $$ | 1 |
| 930 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 6 \right)^2}{ 9 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$ | 1 |
| 931 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 10 } + \dfrac{ y^2}{ 18 } = 1 $$ | 1 |
| 932 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 18 } + \dfrac{ y^2}{ 28 } = 1 $$ | 1 |
| 933 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ y^2}{ \frac{ 707 }{ 1000 } } = 1 $$ | 1 |
| 934 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 2 } + \dfrac{ y^2}{ 4 } = 1 $$ | 1 |
| 935 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 289 } + \dfrac{ y^2}{ 226 } = 1 $$ | 1 |
| 936 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 4 } + \dfrac{ \left( y - 8 \right)^2}{ 25 } = 1 $$ | 1 |
| 937 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y + 8 \right)^2}{ 64 } = 1 $$ | 1 |
| 938 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 8 \right)^2}{ 25 } + \dfrac{ \left( y + 7 \right)^2}{ 9 } = 1 $$ | 1 |
| 939 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 9y^2 = 1 $$ | 1 |
| 940 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 25 } = 1 $$ | 1 |
| 941 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 4 } + \dfrac{ \left( y - 7 \right)^2}{ 9 } = 1 $$ | 1 |
| 942 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ y^2}{ 9 } = 1 $$ | 1 |
| 943 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1.0001 } + \dfrac{ y^2}{ 0 } = 1 $$ | 1 |
| 944 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3 } + \dfrac{ y^2}{ \frac{ 7 }{ 2 } } = 1 $$ | 1 |
| 945 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 125 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
| 946 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 144 } + \dfrac{ \left( y + 1 \right)^2}{ 169 } = 1 $$ | 1 |
| 947 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 3y^2 = 11 $$ | 1 |
| 948 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 24 }{ 5 } } + \dfrac{ y^2}{ 2 } = 1 $$ | 1 |
| 949 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 169 } + \dfrac{ \left( y + 1 \right)^2}{ 144 } = 1 $$ | 1 |
| 950 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 113 } + \dfrac{ y^2}{ 44 } = 1 $$ | 1 |
