What is x^2+y^2-12y+32=0 ?

The solution to x^2+y^2-12y+32=0 is Circle with (a,b)=(0,6),r=2

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x^2+y^2-12y+32=0

x^{2} + y^{2} - 12 y + 32 = 0

(a, b) = (0, 6), r = 2

Solution steps

x^{2} + y^{2} - 12 y + 32 = 0

Rewrite

x^{2} + y^{2} - 12 y + 32 = 0

in the form of the standard circle equation

(x - 0)^{2} + (y - 6)^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (0, 6), r = 2

9 (y - 2)^{2} - 4 x^{2} = 36

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

\frac{x ^{2}}{49} - \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

x = - \frac{1}{8} y^{2}

What is x^2+y^2-12y+32=0 ?
The solution to x^2+y^2-12y+32=0 is Circle with (a,b)=(0,6),r=2