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Beliebt Geometry >

((x^2)/a)+((y^2)/b)=1

Lösung

(\frac{x ^{2}}{a}) + (\frac{y ^{2}}{b}) = 1

Lösung

(h, k) = (0, 0), a = a, b = b

Schritte zur Lösung

\frac{x ^{2}}{a} + \frac{y ^{2}}{b} = 1

Rewrite

\frac{x ^{2}}{a} + \frac{y ^{2}}{b} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = a, b = b

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = a, b = b

Beliebte Beispiele

((x-10)^2)/(25)+((y-4)^2)/(36)=1

\frac{( x - 10 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{36} = 1

3x^2+2y^2-6x+4y-2=0

3 x^{2} + 2 y^{2} - 6 x + 4 y - 2 = 0

9x^{(2)}+25y^{(2)}+18x+150y+9=0

9 x^{(2)} + 25 y^{(2)} + 18 x + 150 y + 9 = 0

(y^2)/4+(x^2)/9 =1

\frac{y ^{2}}{4} + \frac{x ^{2}}{9} = 1

9x^2+25y^2+36x-200y+211=0

9 x^{2} + 25 y^{2} + 36 x - 200 y + 211 = 0