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Beliebt Geometry >

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

Lösung

achse

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

Lösung

semi - major axis a = a, semi - minor axis b = b

Schritte zur Lösung

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

Rewrite

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

achse 36x^2+9y^2-324=0

a x i s 36 x^{2} + 9 y^{2} - 324 = 0

achse 16x^2+25y^2-224x+250y=191

a x i s 16 x^{2} + 25 y^{2} - 224 x + 250 y = 191

achse 9x^2+4y^2-18x+8y-23=0

a x i s 9 x^{2} + 4 y^{2} - 18 x + 8 y - 23 = 0

achse (x^2)/4+(y^2)/(25)=1

a x i s \frac{x ^{2}}{4} + \frac{y ^{2}}{25} = 1

achse 4x^2+9y^2-8x+90y+193=0

a x i s 4 x^{2} + 9 y^{2} - 8 x + 90 y + 193 = 0