y^2+9x^2=9

Solution

y^{2} + 9 x^{2} = 9

(h, k) = (0, 0), a = 1, b = 3

Solution steps

y^{2} + 9 x^{2} = 9

Rewrite

y^{2} + 9 x^{2} = 9

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 3, a = 1

What is y^2+9x^2=9 ?
The solution to y^2+9x^2=9 is Ellipse with (h,k)=(0,0),a=1,b=3