What is -x^2-9y^2-63=0 ?

The solution to -x^2-9y^2-63=0 is Ellipse with (h,k)=(0,0),a=3sqrt(7),b=sqrt(7)

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-x^2-9y^2-63=0

- x^{2} - 9 y^{2} - 63 = 0

(h, k) = (0, 0), a = 37, b = 7

Solution steps

- x^{2} - 9 y^{2} - 63 = 0

Rewrite

- x^{2} - 9 y^{2} - 63 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 3 7 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 37, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 37, b = 7

2 x^{2} + 3 y^{2} + 4 x - 1 = 0

3 (y^{2} + x^{2} - 4 y) = 0

16 x^{2} + 16 y^{2} - 8 y^{2} - 15 = 0

x^{(2)} + 4 y^{(2)} + 7 = 12 y - 2 x

\frac{( x - 4 ) ^{2}}{4} + \frac{( y - 5 ) ^{2}}{36} = 1

What is -x^2-9y^2-63=0 ?
The solution to -x^2-9y^2-63=0 is Ellipse with (h,k)=(0,0),a=3sqrt(7),b=sqrt(7)