Ellipse
(the database of solved problems)
All the problems and solutions shown below were generated using the Ellipse Calculator.
| ID |
Problem |
Count |
| 801 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 24 } + \dfrac{ y^2}{ 1 } = 1 $$ | 1 |
| 802 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \sqrt{ 60 } } + \dfrac{ y^2}{ 64 } = 1 $$ | 1 |
| 803 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 60 } + \dfrac{ y^2}{ 64 } = 1 $$ | 1 |
| 804 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 5y^2 = 25 $$ | 1 |
| 805 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + 4y^2 = 100 $$ | 1 |
| 806 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ \frac{ 22 }{ 5 } } + \dfrac{ \left( y - 4 \right)^2}{ 2 } = 1 $$ | 1 |
| 807 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 1 } = 1 $$ | 1 |
| 808 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 308 } + \dfrac{ y^2}{ 200 } = 1 $$ | 1 |
| 809 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 200 } + \dfrac{ y^2}{ 308 } = 1 $$ | 1 |
| 810 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 15x^2 + 10y^2 = 1 $$ | 1 |
| 811 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 12y^2 = 108 $$ | 1 |
| 812 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 441 } + \dfrac{ y^2}{ 144 } = 1 $$ | 1 |
| 813 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 147 }{ 2 } \right)^2}{ 6 } + \dfrac{ \left( y - 27 \right)^2}{ \frac{ 1 }{ 100 } } = 1 $$ | 1 |
| 814 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 6 } = 1 $$ | 1 |
| 815 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 5 } = 1 $$ | 1 |
| 816 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 2 } + \dfrac{ y^2}{ 1 } = 1 $$ | 1 |
| 817 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 5 } = 1 $$ | 1 |
| 818 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$ | 1 |
| 819 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 25 } = 1 $$ | 1 |
| 820 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ \left( y - 2 \right)^2}{ 36 } = 1 $$ | 1 |
| 821 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$ | 1 |
| 822 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 6 } = 1 $$ | 1 |
| 823 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 16 } = 1 $$ | 1 |
| 824 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 8 } = 1 $$ | 1 |
| 825 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 10 } = 1 $$ | 1 |
| 826 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 11 }{ 25 } \right)^2}{ \frac{ 243 }{ 100 } } + \dfrac{ \left( y - \frac{ 1 }{ 10 } \right)^2}{ \frac{ 167 }{ 50 } } = 1 $$ | 1 |
| 827 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 12 } = 1 $$ | 1 |
| 828 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 11979 }{ 25 } } + \dfrac{ y^2}{ 230 } = 1 $$ | 1 |
| 829 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 29 } + \dfrac{ y^2}{ \frac{ 327 }{ 5 } } = 1 $$ | 1 |
| 830 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 49 } + \dfrac{ \left( y + 5 \right)^2}{ 25 } = 1 $$ | 1 |
| 831 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 25 } + \dfrac{ \left( y - 1 \right)^2}{ 144 } = 1 $$ | 1 |
| 832 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 31 }{ 10 } } + \dfrac{ \left( y + \frac{ 17 }{ 10 } \right)^2}{ \frac{ 8 }{ 5 } } = 1 $$ | 1 |
| 833 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$ | 1 |
| 834 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 4y^2 = 25 $$ | 1 |
| 835 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 12x^2 + 9y^2 = 36 $$ | 1 |
| 836 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ \left( y + 2 \right)^2}{ 1 } = 1 $$ | 1 |
| 837 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 4x^2 + 9y^2 = 36 $$ | 1 |
| 838 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$ | 1 |
| 839 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 8836 } + \dfrac{ y^2}{ 3844 } = 1 $$ | 1 |
| 840 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 3 } + \dfrac{ \left( y + 1 \right)^2}{ 2 } = 1 $$ | 1 |
| 841 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ \frac{ 11 }{ 2 } } = 1 $$ | 1 |
| 842 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ \frac{ 121 }{ 4 } } = 1 $$ | 1 |
| 843 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$ | 1 |
| 844 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 4 } + \dfrac{ \left( y + 1 \right)^2}{ 6 } = 1 $$ | 1 |
| 845 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + y^2 = 25 $$ | 1 |
| 846 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 676 } + \dfrac{ y^2}{ 100 } = 1 $$ | 1 |
| 847 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 225 } + \dfrac{ y^2}{ 625 } = 1 $$ | 1 |
| 848 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 60 } + \dfrac{ y^2}{ 64 } = 1 $$ | 1 |
| 849 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 625 } + \dfrac{ y^2}{ 225 } = 1 $$ | 1 |
| 850 | Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 81 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$ | 1 |
