What is the axis x^2+y^2-2y=0 ?

The axis x^2+y^2-2y=0 is semi-major axis b=1, semi-minor axis a=1

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axis x^2+y^2-2y=0

axis

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

semi - major axis b = 1, semi - minor axis a = 1

Solution steps

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

Rewrite

x^{2} + y^{2} - 2 y = 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}}{25} + \frac{( y + 3 ) ^{2}}{49} = 1

\frac{( x - 2 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{9} = 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{4} = 1

4 x^{2} + y^{2} + 8 x - 4 y + 4 = 0

4 x^{2} + 9 y^{2} - 16 x + 18 y = 11

What is the axis x^2+y^2-2y=0 ?
The axis x^2+y^2-2y=0 is semi-major axis b=1, semi-minor axis a=1