What is 9-x^2-9y^2=0 ?

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

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9-x^2-9y^2=0

9 - x^{2} - 9 y^{2} = 0

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

Solution steps

9 - x^{2} - 9 y^{2} = 0

Rewrite

9 - x^{2} - 9 y^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

\frac{( x - 5 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{9} = 1

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

4 x^{2} + 9 y^{2} - 8 x - 54 y - 5 = 0

x^{2} + 4 y^{2} + 8 x + 8 y - 16 = 0

9 x^{2} + 16 y^{2} - 160 y + 256 = 0

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