What is the axis 4x^2+24x+36+36y^2-360y+756=0 ?

The axis 4x^2+24x+36+36y^2-360y+756=0 is semi-major axis a=6, semi-minor axis b=2

Popular >

axis 4x^2+24x+36+36y^2-360y+756=0

axis

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

semi - major axis a = 6, semi - minor axis b = 2

Solution steps

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

Rewrite

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{6 ^{2}} + \frac{( y - 5 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 5), a = 6, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 3, 5), a = 6, b = 2

\frac{x ^{2}}{7} + \frac{y ^{2}}{16} = 1

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

4 x^{2} - 16 x + 25 y^{2} + 200 y = - 316

3 x^{(2)} + 2 y^{(2)} - 12 x + 8 y + 19 = 0

\frac{( x + 2 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{9} = 1

What is the axis 4x^2+24x+36+36y^2-360y+756=0 ?
The axis 4x^2+24x+36+36y^2-360y+756=0 is semi-major axis a=6, semi-minor axis b=2