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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

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

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

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

200=(1000)/(1+x^2+y^2)

200 = \frac{1000}{1 + x ^{2} + y ^{2}}

2 x^{2} + 2 y^{2} - 8 y = 0

6x^2+9y^2+54y=60x-87

6 x^{2} + 9 y^{2} + 54 y = 60 x - 87