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
651	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
652	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 3x^2 + 4y^2 = 1 $$	2
653	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
654	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
655	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
656	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
657	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
658	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
659	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
660	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 15 \right)^2}{ 3600 } + \dfrac{ \left( y - 30 \right)^2}{ 900 } = 1 $$	2
661	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
662	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
663	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 20x^2 + 25y^2 = 1 $$	2
664	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 8x^2 + \frac{ 37 }{ 10 }y^2 = 1 $$	2
665	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 1 } + \dfrac{ \left( y + 1 \right)^2}{ 81 } = 1 $$	2
666	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 0.9573y^2 = 1 $$	2
667	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 15 \right)^2}{ 2 } + \dfrac{ \left( y + 2 \right)^2}{ 2 } = 1 $$	2
668	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
669	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
670	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
671	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
672	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
673	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
674	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
675	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 59 } + \dfrac{ y^2}{ 64 } = 1 $$	2
676	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 1156 } + \dfrac{ y^2}{ 900 } = 1 $$	2
677	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ y^2}{ \sqrt{ 8 } } = 1 $$	2
678	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 9 } + \dfrac{ \left( y - 2 \right)^2}{ 25 } = 1 $$	2
679	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 17 }{ 2 } \right)^2}{ 25 } + \dfrac{ \left( y + 2 \right)^2}{ 144 } = 1 $$	2
680	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 16 } + \dfrac{ \left( y - 3 \right)^2}{ 9 } = 1 $$	2
681	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ 9 \left( x + 18 \right)^2}{ 1 } + \dfrac{ 4 \left( y + 40 \right)^2}{ 1 } = 1 $$	2
682	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
683	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
684	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
685	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
686	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
687	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + y^2 = 27 $$	2
688	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 50 } + \dfrac{ y^2}{ 16 } = 1 $$	2
689	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 1 \right)^2}{ 4 } + \dfrac{ \left( y - 2 \right)^2}{ 25 } = 1 $$	2
690	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 4 $$	2
691	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 2y^2 = 20 $$	2
692	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + 9y^2 = 45 $$	2
693	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2
694	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
695	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 15x^2 + 7y^2 = 105 $$	2
696	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 9 } = 1 $$	2
697	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 2x^2 + 5y^2 = 50 $$	2
698	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ x^2 + 2y^2 = 6 $$	2
699	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 2y^2 = 18 $$	2
700	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 5x^2 + y^2 = 5 $$	2