-x^2-y^2=1

Solution

- x^{2} - y^{2} = 1

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

Solution steps

- x^{2} - y^{2} = 1

Rewrite

- x^{2} - y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

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

4 x^{2} + 9 y^{2} + 8 x - 18 y - 23 = 0

x^{2} + 4 y^{2} - 4 x - 32 y + 32 = 0

\frac{( x - 1 ) ^{2}}{5} + \frac{( y + 2 ) ^{2}}{8} = 1

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

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