What is x^2+y^2=11x+11y ?

The solution to x^2+y^2=11x+11y is Circle with (a,b)=(11/2 , 11/2),r=(11)/(sqrt(2))

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x^2+y^2=11x+11y

x^{2} + y^{2} = 11 x + 11 y

(a, b) = (\frac{11}{2}, \frac{11}{2}), r = \frac{11}{2}

Solution steps

x^{2} + y^{2} = 11 x + 11 y

Rewrite

x^{2} + y^{2} = 11 x + 11 y

in the form of the standard circle equation

(x - \frac{11}{2})^{2} + (y - \frac{11}{2})^{2} = (\frac{11}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{11}{2}, \frac{11}{2}), r = \frac{11}{2}

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

a^{2} + b^{2} = 335

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

x^{2} + (y + 2)^{2} = 20

(x - 3)^{2} + (y + 4)^{2} \leq 25

What is x^2+y^2=11x+11y ?
The solution to x^2+y^2=11x+11y is Circle with (a,b)=(11/2 , 11/2),r=(11)/(sqrt(2))