Ellipse – Solved Problems Database

All the problems and solutions shown below were generated using the Ellipse Calculator.

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ID	Problem	Count
201	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 36 } = 1 $$	2
202	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 16 x^2}{ 1 } + \dfrac{ y^2}{ 1 } = 1 $$	2
203	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 21 }{ 2 } \right)^2}{ 1 } + \dfrac{ \left( y + 1 \right)^2}{ \frac{ 1 }{ 100 } } = 1 $$	2
204	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 18 } + \dfrac{ \left( y - 2 \right)^2}{ 81 } = 1 $$	2
205	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 4 } + \dfrac{ \left( y - 4 \right)^2}{ 9 } = 1 $$	2
206	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 9 } = 1 $$	2
207	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 4 \left( x - 3 \right)^2}{ 12 } + \dfrac{ 8 \left( y + 6 \right)^2}{ 20 } = 1 $$	2
208	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 4 } + \dfrac{ \left( y + 3 \right)^2}{ 9 } = 1 $$	2
209	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ y^2}{ 36 } = 1 $$	2
210	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 4 } = 1 $$	2
211	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 10 \right)^2}{ \frac{ 11 }{ 2 } } + \dfrac{ \left( y - 1 \right)^2}{ 3 } = 1 $$	2
212	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 1 } + \dfrac{ \left( y + 3 \right)^2}{ 4 } = 1 $$	2
213	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 7 }{ 2 } \right)^2}{ 4 } + \dfrac{ \left( y + \frac{ 5 }{ 2 } \right)^2}{ 2 } = 1 $$	2
214	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 17 }{ 10 } \right)^2}{ 6 } + \dfrac{ y^2}{ 15 } = 1 $$	2
215	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 17 }{ 10 } \right)^2}{ 6 } + \dfrac{ y^2}{ 15 } = 1 $$	2
216	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 4 \left( x - 1 \right)^2}{ \frac{ 3 }{ 2 } } + \dfrac{ \left( y - 2 \right)^2}{ 3 } = 1 $$	2
217	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ \left( y + \frac{ 3 }{ 2 } \right)^2}{ \frac{ 3 }{ 2 } } = 1 $$	2
218	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 19 }{ 5 } \right)^2}{ \frac{ 225 }{ 4 } } + \dfrac{ \left( y - 6 \right)^2}{ \frac{ 121 }{ 4 } } = 1 $$	2
219	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 1 }{ 4 } \right)^2}{ \frac{\sqrt{ 3 }}{ 6 } } + \dfrac{ \left( y + \frac{ 1 }{ 6 } \right)^2}{ \frac{ 1 }{ 3 } } = 1 $$	2
220	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 7 \right)^2}{ 1 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$	2
221	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 100 } = 1 $$	2
222	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 16 } + \dfrac{ \left( y - 5 \right)^2}{ 25 } = 1 $$	2
223	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 9 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$	2
224	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 25 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
225	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 36 } + \dfrac{ 4 \left( y + 6 \right)^2}{ 9 } = 1 $$	2
226	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 169 } + \dfrac{ \left( y - 5 \right)^2}{ 144 } = 1 $$	2
227	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ y^2}{ 8 } = 1 $$	2
228	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 7 \right)^2}{ 25 } + \dfrac{ \left( y - 25 \right)^2}{ 16 } = 1 $$	2
229	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 9 } + \dfrac{ \left( y - 5 \right)^2}{ 25 } = 1 $$	2
230	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ \left( y + 5 \right)^2}{ 25 } = 1 $$	2
231	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 36 } + \dfrac{ y^2}{ 35 } = 1 $$	2
232	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ 16 } = 1 $$	2
233	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ \left( y - 4 \right)^2}{ 16 } = 1 $$	2
234	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 4 } + \dfrac{ \left( y - 4 \right)^2}{ 9 } = 1 $$	2
235	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 16 } + \dfrac{ \left( y - 1 \right)^2}{ 25 } = 1 $$	2
236	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 3 $$	2
237	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 25 } + \dfrac{ \left( y + 2 \right)^2}{ 9 } = 1 $$	2
238	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 169 } + \dfrac{ y^2}{ 25 } = 1 $$	2
239	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 16 } + \dfrac{ \left( y + 3 \right)^2}{ 49 } = 1 $$	2
240	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 100x^2 + 196y^2 = 1225 $$	2
241	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
242	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 25 } + \dfrac{ \left( y - 3 \right)^2}{ 36 } = 1 $$	2
243	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 4 } + \dfrac{ \left( y + 5 \right)^2}{ 9 } = 1 $$	2
244	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ \frac{ 100 }{ 9 } } + \dfrac{ \left( y - 5 \right)^2}{ 20 } = 1 $$	2
245	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 4 \left( x - 4 \right)^2}{ 25 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$	2
246	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ \frac{ 1 }{ 10 } } + \dfrac{ \left( y + 10 \right)^2}{ 1 } = 1 $$	2
247	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 3y^2 = \frac{ 3 }{ 2 } $$	2
248	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 25 \left( x + 2 \right)^2}{ 72 } + \dfrac{ 16 \left( y - 2 \right)^2}{ 72 } = 1 $$	2
249	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 9 } + \dfrac{ \left( y + 1 \right)^2}{ 4 } = 1 $$	2
250	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 6 \right)^2}{ 51 } + \dfrac{ \left( y - 6 \right)^2}{ 36 } = 1 $$	2