What is the axis x^2+2y^2=4 ?

The axis x^2+2y^2=4 is semi-major axis a=2, semi-minor axis b=sqrt(2)

Popular >

axis x^2+2y^2=4

axis

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = 2

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

(\frac{x - 1}{25})^{2} + (\frac{y - 3}{16})^{2} = 1

x^{2} + y^{2} - 4 y = 0

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{16} = 1

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

What is the axis x^2+2y^2=4 ?
The axis x^2+2y^2=4 is semi-major axis a=2, semi-minor axis b=sqrt(2)