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Beliebt Geometry >

(x^2)/(C1^2)=1-(y^2)/(C2^2)

Lösung

\frac{x ^{2}}{C 1 ^{2}} = 1 - \frac{y ^{2}}{C 2 ^{2}}

Lösung

(h, k) = (0, 0), a = C, b = 2 C

Schritte zur Lösung

\frac{x ^{2}}{C \cdot 1 ^{2}} = 1 - \frac{y ^{2}}{C \cdot 2 ^{2}}

Rewrite

\frac{x ^{2}}{C 1 ^{2}} = 1 - \frac{y ^{2}}{C 2 ^{2}}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = C, b = 2 C

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = C, b = 2 C

Beliebte Beispiele

((x-1)^2)/(169)+((y-4)^2)/(144)=1

\frac{( x - 1 ) ^{2}}{169} + \frac{( y - 4 ) ^{2}}{144} = 1

9x^2+25y^2-18x-50y-191=0

9 x^{2} + 25 y^{2} - 18 x - 50 y - 191 = 0

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

((x-3)^2)/4+((y+1)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{25} = 1

4x^2-16x+9y^2+54y+61=0

4 x^{2} - 16 x + 9 y^{2} + 54 y + 61 = 0