Ellipse – Solved Problems Database

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

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ID	Problem	Count
151	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
152	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
153	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
154	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
155	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
156	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
157	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
158	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
159	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
160	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
161	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
162	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
163	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
164	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
165	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 36 } + \dfrac{ \left( y + 3 \right)^2}{ 4 } = 1 $$	2
166	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 6y^2 = 18 $$	2
167	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 7 \right)^2}{ 1 } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	2
168	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 10 \right)^2}{ 1600 } + \dfrac{ \left( y - 20 \right)^2}{ 400 } = 1 $$	2
169	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 81 } + \dfrac{ \left( y + 6 \right)^2}{ 49 } = 1 $$	2
170	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 5 \right)^2}{ 9 } + \dfrac{ \left( y + 4 \right)^2}{ 4 } = 1 $$	2
171	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ y^2}{ \frac{ 121 }{ 4 } } = 1 $$	2
172	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 10 } + \dfrac{ \left( y + 8 \right)^2}{ 15 } = 1 $$	2
173	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
174	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
175	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ \frac{ 1 }{ 2 } } + \dfrac{ \left( y - 2 \right)^2}{ 4 } = 1 $$	2
176	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ \frac{ 1 }{ 10 } } + \dfrac{ \left( y + 1 \right)^2}{ \frac{ 1 }{ 5 } } = 1 $$	2
177	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 8640.632 } + \dfrac{ y^2}{ 8637.8436 } = 1 $$	2
178	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ 4 } + \dfrac{ \left( y - 1 \right)^2}{ 3 } = 1 $$	2
179	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x - 1 \right)^2}{ 225 } + \dfrac{ 25 \left( y + 2 \right)^2}{ 225 } = 1 $$	2
180	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 3x^2 + 4y^2 = 1 $$	2
181	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ y^2}{ 1 } = 1 $$	2
182	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 4 } + \dfrac{ \left( y + 1 \right)^2}{ 3 } = 1 $$	2
183	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 1 }{ 5 } \right)^2}{ 17.1395 } + \dfrac{ \left( y + \frac{ 1 }{ 10 } \right)^2}{ 7.3495 } = 1 $$	2
184	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ \left( y - 1 \right)^2}{ 1 } = 1 $$	2
185	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 25 } + \dfrac{ \left( y - 4 \right)^2}{ 4 } = 1 $$	2
186	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$	2
187	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1 } + \dfrac{ y^2}{ 4 } = 1 $$	2
188	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 780 } + \dfrac{ y^2}{ 450 } = 1 $$	2
189	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 16 } + \dfrac{ \left( y - 1 \right)^2}{ 49 } = 1 $$	2
190	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 25 } = 1 $$	2
191	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 3 } = 1 $$	2
192	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 154 } + \dfrac{ y^2}{ 62 } = 1 $$	2
193	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 10 } + \dfrac{ \left( y + 2 \right)^2}{ 4 } = 1 $$	2
194	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ \frac{ 191 }{ 2 } } + \dfrac{ \left( y - 1 \right)^2}{ 75 } = 1 $$	2
195	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ y^2}{ 100 } = 1 $$	2
196	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 3 } = 1 $$	2
197	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 40 \right)^2}{ 900 } + \dfrac{ \left( y - 40 \right)^2}{ 1600 } = 1 $$	2
198	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 20x^2 + 25y^2 = 1 $$	2
199	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 5 }{ 2 } } + \dfrac{ y^2}{ 2 } = 1 $$	2
200	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 8x^2 + \frac{ 37 }{ 10 }y^2 = 1 $$	2