sqrt(x^2+y^2)=2*y/(sqrt(x^2+y^2))

Lösung

x^{2} + y^{2} = 2 \cdot \frac{y}{x ^{2} + y ^{2}}

(h, k) = (0, 1), a = 1, b = 1

Schritte zur Lösung

x^{2} + y^{2} = 2 \cdot \frac{y}{x ^{2} + y ^{2}}

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 1), a = 1, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 1, a = 1

\frac{x ^{2}}{1.5869} + \frac{y ^{2}}{0.9988} = 1

x^{2} + (y - 1)^{2} + (4 + y)^{2} = 64

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

\frac{( x - 4 ) ^{2}}{5} + \frac{( y - 6 ) ^{2}}{9} = 1

(\frac{( x + 2 ) ^{2}}{25}) + (\frac{( y - 1 ) ^{2}}{169}) = 1