What is the axis 4x^2+9y^2-16x+18y=11 ?

The axis 4x^2+9y^2-16x+18y=11 is semi-major axis a=3, semi-minor axis b=2

Popular >

axis 4x^2+9y^2-16x+18y=11

axis

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), a = 3, b = 2

x^{2} + 4 y^{2} = 16

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

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

16 x^{2} + 25 y^{2} + 32 x - 384 = 0

\frac{x ^{2}}{49} + \frac{y ^{2}}{36} = 1

What is the axis 4x^2+9y^2-16x+18y=11 ?
The axis 4x^2+9y^2-16x+18y=11 is semi-major axis a=3, semi-minor axis b=2