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

The axis x^2+2y^2=2 is semi-major axis a=sqrt(2), semi-minor axis b=1

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axis x^2+2y^2=2

axis

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

semi - major axis a = 2, semi - minor axis b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = 1

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

\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

What is the axis x^2+2y^2=2 ?
The axis x^2+2y^2=2 is semi-major axis a=sqrt(2), semi-minor axis b=1