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Beliebt Geometry >

1=x^2+3y^2

Lösung

1 = x^{2} + 3 y^{2}

Lösung

(h, k) = (0, 0), a = 1, b = \frac{1}{3}

Schritte zur Lösung

1 = x^{2} + 3 y^{2}

Rewrite

1 = x^{2} + 3 y^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = \frac{1}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 1, b = \frac{1}{3}

Graph

Beliebte Beispiele

4x^2+y^2-24x+2y+21=0

4 x^{2} + y^{2} - 24 x + 2 y + 21 = 0

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9 x^{2} + 4 y^{2} + 18 x - 40 y + 73 = 0

((x+8)^2)/(64)+((y-11)^2)/(36)=1

\frac{( x + 8 ) ^{2}}{64} + \frac{( y - 11 ) ^{2}}{36} = 1

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(x^2}{2sqrt(5)}+\frac{36-12y+y^2)/6 =1

\frac{x ^{2}}{2 5} + \frac{36 - 12 y + y ^{2}}{6} = 1