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
551	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 12 } + \dfrac{ \left( y + 4 \right)^2}{ 9 } = 1 $$	2
552	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 64 } + \dfrac{ \left( y - 4 \right)^2}{ 81 } = 1 $$	2
553	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 25 } + \dfrac{ \left( y - 3 \right)^2}{ 4 } = 1 $$	2
554	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 8 \right)^2}{ 16 } + \dfrac{ y^2}{ 49 } = 1 $$	2
555	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 100 } + \dfrac{ \left( y - 2 \right)^2}{ 16 } = 1 $$	2
556	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 4 } + \dfrac{ \left( y + 9 \right)^2}{ 51 } = 1 $$	2
557	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 4y^2 = 36 $$	2
558	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 25 } + \dfrac{ \left( y - 2 \right)^2}{ 9 } = 1 $$	2
559	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + \frac{ 9 }{ 20 } \right)^2}{ 1 } + \dfrac{ \left( y + \frac{ 17 }{ 25 } \right)^2}{ 9 } = 1 $$	2
560	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 10 } + \dfrac{ y^2}{ 6 } = 1 $$	2
561	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 49 } + \dfrac{ \left( y + 4 \right)^2}{ 64 } = 1 $$	2
562	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \frac{ 3 }{ 4 } } + \dfrac{ y^2}{ 1 } = 1 $$	2
563	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 25 } + \dfrac{ \left( y - 1 \right)^2}{ 9 } = 1 $$	2
564	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
565	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 6 \right)^2}{ 16 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$	2
566	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 6 \right)^2}{ 16 } + \dfrac{ \left( y - 5 \right)^2}{ 9 } = 1 $$	2
567	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 150 } + \dfrac{ y^2}{ 280 } = 1 $$	2
568	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 2 \right)^2}{ 64 } + \dfrac{ \left( y + 5 \right)^2}{ 25 } = 1 $$	2
569	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ \left( y + 2 \right)^2}{ 5 } = 1 $$	2
570	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
571	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 4 } + \dfrac{ y^2}{ 3 } = 1 $$	2
572	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 8x^2 + 6y^2 = 1 $$	2
573	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 5 } + \dfrac{ \left( y - 4 \right)^2}{ 1 } = 1 $$	2
574	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 3 \right)^2}{ 24 } + \dfrac{ \left( y + 2 \right)^2}{ \frac{ 7 }{ 2 } } = 1 $$	2
575	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 217 }{ 50 } \right)^2}{ \frac{ 27 }{ 10 } } + \dfrac{ \left( y + \frac{ 347 }{ 100 } \right)^2}{ \frac{ 27 }{ 5 } } = 1 $$	2
576	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - \frac{ 217 }{ 50 } \right)^2}{ \frac{ 27 }{ 10 } } + \dfrac{ \left( y - \frac{ 347 }{ 100 } \right)^2}{ \frac{ 27 }{ 5 } } = 1 $$	2
577	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 4 \right)^2}{ 21 } + \dfrac{ \left( y - \frac{ 16 }{ 5 } \right)^2}{ \frac{ 11 }{ 2 } } = 1 $$	2
578	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 4 } + \dfrac{ \left( y + 5 \right)^2}{ 9 } = 1 $$	2
579	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 65 } + \dfrac{ y^2}{ 37 } = 1 $$	2
580	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 8 } + \dfrac{ y^2}{ \frac{ 11 }{ 2 } } = 1 $$	2
581	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 1 } + \dfrac{ \left( y - 3 \right)^2}{ 16 } = 1 $$	2
582	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ \sqrt{ 68 } } + \dfrac{ y^2}{ 64 } = 1 $$	2
583	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 9 } + \dfrac{ \left( y - 4 \right)^2}{ 25 } = 1 $$	2
584	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 3 \right)^2}{ 16 } + \dfrac{ \left( y - 1 \right)^2}{ 4 } = 1 $$	2
585	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 25x^2 + 27y^2 = 675 $$	2
586	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 2 } + \dfrac{ y^2}{ 6 } = 1 $$	2
587	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 5 } + \dfrac{ y^2}{ 6 } = 1 $$	2
588	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 32 } + \dfrac{ y^2}{ 3 } = 1 $$	2
589	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x + 4 \right)^2}{ 81 } + \dfrac{ \left( y - 1 \right)^2}{ 32 } = 1 $$	2
590	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 16 } + \dfrac{ y^2}{ 49 } = 1 $$	2
591	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 230 } + \dfrac{ y^2}{ \frac{ 11979 }{ 25 } } = 1 $$	2
592	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 3 } + \dfrac{ y^2}{ 6 } = 1 $$	2
593	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 22x^2 + y^2 = 88 $$	2
594	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 2 \right)^2}{ \frac{ 9 }{ 4 } } + \dfrac{ \left( y + 1 \right)^2}{ 1 } = 1 $$	2
595	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 24 } + \dfrac{ y^2}{ 9 } = 1 $$	2
596	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ 9x^2 + 7y^2 = 5 $$	2
597	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 6 } + \dfrac{ y^2}{ 5 } = 1 $$	2
598	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 5 \right)^2}{ 16 } + \dfrac{ \left( y - 2 \right)^2}{ 36 } = 1 $$	2
599	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ x^2}{ 6 } + \dfrac{ y^2}{ 36 } = 1 $$	2
600	Find foci, vertices, lengths of major and minor axes and the eccentricity of the ellipse:$$ \dfrac{ \left( x - 1 \right)^2}{ 16 } + \dfrac{ \left( y + 2 \right)^2}{ 9 } = 1 $$	2