What is the axis 9x^2+y^2=9 ?

The axis 9x^2+y^2=9 is semi-major axis b=3, semi-minor axis a=1

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axis 9x^2+y^2=9

axis

9 x^{2} + y^{2} = 9

semi - major axis b = 3, semi - minor axis a = 1

Solution steps

9 x^{2} + y^{2} = 9

Rewrite

9 x^{2} + y^{2} = 9

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 1

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{11} = 1

36 x^{2} + 11 y^{2} + 144 x + 44 y - 208 = 0

9 x^{2} + 16 y^{2} + 90 x + 32 y + 97 = 0

What is the axis 9x^2+y^2=9 ?
The axis 9x^2+y^2=9 is semi-major axis b=3, semi-minor axis a=1