What is x^2+y^2-10x-2y-74=0 ?

The solution to x^2+y^2-10x-2y-74=0 is Circle with (a,b)=(5,1),r=10

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x^2+y^2-10x-2y-74=0

x^{2} + y^{2} - 10 x - 2 y - 74 = 0

(a, b) = (5, 1), r = 10

Solution steps

x^{2} + y^{2} - 10 x - 2 y - 74 = 0

Rewrite

x^{2} + y^{2} - 10 x - 2 y - 74 = 0

in the form of the standard circle equation

(x - 5)^{2} + (y - 1)^{2} = 1 0^{2}

Therefore the circle properties are:

(a, b) = (5, 1), r = 10

9 x^{2} + 9 y^{2} + 12 y + 36 y - 104 = 0

4 x^{2} + 4 y^{2} - 32 y + 39 = 0

x^{2} + 12 x + y^{2} - 12 y = - 56

(x - 1)^{2} + (y + 6)^{2} \leq 4

(x - 10)^{2} + (y + 1)^{2} - 64 = 0

What is x^2+y^2-10x-2y-74=0 ?
The solution to x^2+y^2-10x-2y-74=0 is Circle with (a,b)=(5,1),r=10