What is the axis 9x^2+4y^2+18x-8y-131=0 ?

The axis 9x^2+4y^2+18x-8y-131=0 is semi-major axis b=6, semi-minor axis a=4

Popular >

axis 9x^2+4y^2+18x-8y-131=0

axis

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

semi - major axis b = 6, semi - minor axis a = 4

Solution steps

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

Rewrite

9 x^{2} + 4 y^{2} + 18 x - 8 y - 131 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{4 ^{2}} + \frac{( y - 1 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 1), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 1), b = 6, a = 4

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

\frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} > 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{12} = 1

9 x^{2} + 25 y^{2} + 18 x + 150 y + 9 = 0

What is the axis 9x^2+4y^2+18x-8y-131=0 ?
The axis 9x^2+4y^2+18x-8y-131=0 is semi-major axis b=6, semi-minor axis a=4