What is ((9))/((2))x^{(2)}+((9))/((2))y^{(2)}=1 ?

The solution to ((9))/((2))x^{(2)}+((9))/((2))y^{(2)}=1 is Circle with (a,b)=(0,0),r=(sqrt(2))/3

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((9))/((2))x^{(2)}+((9))/((2))y^{(2)}=1

\frac{( 9 )}{( 2 )} x^{(2)} + \frac{( 9 )}{( 2 )} y^{(2)} = 1

(a, b) = (0, 0), r = \frac{2}{3}

Solution steps

\frac{9}{2} x^{2} + \frac{9}{2} y^{2} = 1

Rewrite

\frac{9}{2} x^{2} + \frac{9}{2} y^{2} = 1

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (0, 0), r = \frac{2}{3}

(x)^{2} + (y - 5)^{2} = 4

x^{2} + y^{2} - 10 x + 4 y - 56 = 0

x^{2} + y^{2} = 900

(x - 11)^{2} + (y - 14)^{2} = 64

4 x^{2} + 4 y^{2} = 100

What is ((9))/((2))x^{(2)}+((9))/((2))y^{(2)}=1 ?
The solution to ((9))/((2))x^{(2)}+((9))/((2))y^{(2)}=1 is Circle with (a,b)=(0,0),r=(sqrt(2))/3