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Beliebt Geometry >

(1+y^2)/(1-x^2)=2

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{2}

Graph

Beliebte Beispiele

(x^2)/(36)+((y+9)^2)/(81)=1

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

(x-3)^2+((y+1)^2)/(49)=1

(x - 3)^{2} + \frac{( y + 1 ) ^{2}}{49} = 1

22y^2+32x^2-308y-512x+2.422=0

22 y^{2} + 32 x^{2} - 308 y - 512 x + 2.422 = 0

-3y^2-3x^2+5x+10y=5x^2+1

- 3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1

(x+1)^2+((y-1)^2)/(16)=1

(x + 1)^{2} + \frac{( y - 1 ) ^{2}}{16} = 1