What is the axis x^2+y^2-6y=0 ?

The axis x^2+y^2-6y=0 is semi-major axis b=3, semi-minor axis a=3

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axis x^2+y^2-6y=0

axis

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

semi - major axis b = 3, semi - minor axis a = 3

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 3), a = 3, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 3), b = 3, a = 3

\frac{x ^{2}}{20} + \frac{y ^{2}}{4} = 1

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

4 x^{2} + 8 y^{2} - 16 \cdot + 32 y + 32 = 0

What is the axis x^2+y^2-6y=0 ?
The axis x^2+y^2-6y=0 is semi-major axis b=3, semi-minor axis a=3