What is the axis (x^2)/(100)+(y^2)/(36)=1 ?

The axis (x^2)/(100)+(y^2)/(36)=1 is semi-major axis a=10, semi-minor axis b=6

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axis (x^2)/(100)+(y^2)/(36)=1

axis

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

semi - major axis a = 10, semi - minor axis b = 6

Solution steps

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

Rewrite

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 0 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 6

9 x^{2} + 4 y^{2} - 18 x + 16 y - 11 = 0

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

\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

What is the axis (x^2)/(100)+(y^2)/(36)=1 ?
The axis (x^2)/(100)+(y^2)/(36)=1 is semi-major axis a=10, semi-minor axis b=6