What is the axis 3x^2+3y^2-18y=0 ?

The axis 3x^2+3y^2-18y=0 is semi-major axis b=3, semi-minor axis a=3

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axis 3x^2+3y^2-18y=0

axis

3 x^{2} + 3 y^{2} - 18 y = 0

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

Solution steps

3 x^{2} + 3 y^{2} - 18 y = 0

Rewrite

3 x^{2} + 3 y^{2} - 18 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

4 x^{2} + y^{2} = 4

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

\frac{( x - 12 ) ^{2}}{100} + \frac{( y + 7 ) ^{2}}{36} = 1

\frac{( y + 4 ) ^{2}}{9} - \frac{( x - 3 ) ^{2}}{25} = 1

25 y^{2} - 16 x^{2} - 400 = 0

What is the axis 3x^2+3y^2-18y=0 ?
The axis 3x^2+3y^2-18y=0 is semi-major axis b=3, semi-minor axis a=3