What is the axis 36x^2+9y^2-324=0 ?

The axis 36x^2+9y^2-324=0 is semi-major axis b=6, semi-minor axis a=3

Popular >

axis 36x^2+9y^2-324=0

axis

36 x^{2} + 9 y^{2} - 324 = 0

semi - major axis b = 6, semi - minor axis a = 3

Solution steps

36 x^{2} + 9 y^{2} - 324 = 0

Rewrite

36 x^{2} + 9 y^{2} - 324 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 6, a = 3

16 x^{2} + 25 y^{2} - 224 x + 250 y = 191

9 x^{2} + 4 y^{2} - 18 x + 8 y - 23 = 0

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

4 x^{2} + 9 y^{2} - 8 x + 90 y + 193 = 0

\frac{x ^{2}}{49} + \frac{y ^{2}}{169} = 1

What is the axis 36x^2+9y^2-324=0 ?
The axis 36x^2+9y^2-324=0 is semi-major axis b=6, semi-minor axis a=3