What is (x-1)^2+(y-2)^2=4 ?

The solution to (x-1)^2+(y-2)^2=4 is Circle with (a,b)=(1,2),r=2

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(x-1)^2+(y-2)^2=4

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

(a, b) = (1, 2), r = 2

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (1, 2), r = 2

y^{2} = - 36 x

x^{2} + 4 y^{2} = 36

y, x^{2} - 6 x + 9 - 4 y^{2} = 0

y^{2} + x^{2} = 25

\frac{x ^{2}}{144} + \frac{y ^{2}}{169} = 1

What is (x-1)^2+(y-2)^2=4 ?
The solution to (x-1)^2+(y-2)^2=4 is Circle with (a,b)=(1,2),r=2