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
51	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 4 } = 1 $$	9
52	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 436 } = 1 $$	8
53	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 7 } + \dfrac{ \left( y + 6 \right)^2}{ 1 } = 1 $$	8
54	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ \left( y + 2 \right)^2}{ 16 } = 1 $$	8
55	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 25y^2 = 225 $$	8
56	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 49 } + \dfrac{ \left( y + 2 \right)^2}{ 121 } = 1 $$	8
57	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 4 } = 1 $$	8
58	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 225 } + \dfrac{ y^2}{ 196 } = 1 $$	8
59	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ y^2}{ 4 } = 1 $$	8
60	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$	8
61	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 20 } + \dfrac{ y^2}{ 50 } = 1 $$	8
62	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 4y^2 = 1 $$	8
63	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 36 } = 1 $$	7
64	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 25 } = 1 $$	7
65	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$	7
66	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$	7
67	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 49 } + \dfrac{ y^2}{ 36 } = 1 $$	7
68	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 1 } = 1 $$	7
69	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 64 } = 1 $$	7
70	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x + 1 \right)^2}{ 1 } + \dfrac{ \left( y - 8 \right)^2}{ 8 } = 1 $$	7
71	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 81 } + \dfrac{ y^2}{ 16 } = 1 $$	7
72	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 52 } + \dfrac{ y^2}{ 36 } = 1 $$	7
73	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ 64 } = 1 $$	7
74	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 8 \right)^2}{ 25 } + \dfrac{ \left( y + 9 \right)^2}{ 16 } = 1 $$	6
75	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 1 } = 1 $$	6
76	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 25 }{ 4 } } + \dfrac{ y^2}{ 25 } = 1 $$	6
77	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 16 } + \dfrac{ \left( y + 6 \right)^2}{ \sqrt{ 32 } } = 1 $$	6
78	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ y^2}{ 4 } = 1 $$	6
79	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 8 } + \dfrac{ y^2}{ 4 } = 1 $$	6
80	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 49 } = 1 $$	6
81	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 30 } + \dfrac{ y^2}{ 10 } = 1 $$	6
82	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 22050 } + \dfrac{ y^2}{ 3200 } = 1 $$	6
83	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 9 } = 1 $$	6
84	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ \frac{ 1 }{ 10 } } + \dfrac{ \left( y + 1 \right)^2}{ 5 } = 1 $$	6
85	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 81 } + \dfrac{ \left( y + 11 \right)^2}{ 36 } = 1 $$	6
86	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 49 } = 1 $$	6
87	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ 36 } = 1 $$	6
88	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 49 } = 1 $$	6
89	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 24 } + \dfrac{ y^2}{ 12 } = 1 $$	6
90	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 9 }{ 2 } } + \dfrac{ y^2}{ 2 } = 1 $$	6
91	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 16y^2 = 144 $$	6
92	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 1 } = 1 $$	6
93	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 25 } = 1 $$	6
94	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 2 } = 1 $$	6
95	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 100 } = 1 $$	5
96	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 2 } + \dfrac{ \left( y - 1 \right)^2}{ 1 } = 1 $$	5
97	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3 } + \dfrac{ y^2}{ 5 } = 1 $$	5
98	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 16 } + \dfrac{ \left( y + 1 \right)^2}{ 9 } = 1 $$	5
99	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 16 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	5
100	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 16 } = 1 $$	5