What is the axis (x^2)/4+(y^2)/9 =1 ?

The axis (x^2)/4+(y^2)/9 =1 is semi-major axis b=3, semi-minor axis a=2

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axis (x^2)/4+(y^2)/9 =1

axis

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

semi - major axis b = 3, semi - minor axis a = 2

Solution steps

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

Rewrite

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, 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 = 2

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

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

\frac{x ^{2}}{81} + \frac{y ^{2}}{16} = 1

\frac{( x - 2 ) ^{2}}{64} + \frac{( y + 4 ) ^{2}}{16} = 1

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

What is the axis (x^2)/4+(y^2)/9 =1 ?
The axis (x^2)/4+(y^2)/9 =1 is semi-major axis b=3, semi-minor axis a=2