What is (x^2)/2+(y^2)/1 =1 ?

The solution to (x^2)/2+(y^2)/1 =1 is Ellipse with (h,k)=(0,0),a=sqrt(2),b=1

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(x^2)/2+(y^2)/1 =1

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

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

Solution steps

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

Rewrite

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

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

\frac{- x ^{2}}{2 ^{2}} - \frac{y ^{2}}{4 ^{2}} = 1

\frac{( x - 3 ) ^{2}}{4} + \frac{( y + 8 ) ^{2}}{16} = 1

36 (x + 2)^{2} + (y - 4)^{2} = 72

\frac{( x - 2 ) ^{2}}{4} + \frac{y ^{2}}{33} = 1

\frac{( x + 1 ) ^{2}}{21} + \frac{( y + 5 ) ^{2}}{25} = 1

What is (x^2)/2+(y^2)/1 =1 ?
The solution to (x^2)/2+(y^2)/1 =1 is Ellipse with (h,k)=(0,0),a=sqrt(2),b=1