Circles \(A\) and \(B\) are graphed in the \(xy\)-plane. Circle \(A\)…

Question

Prompt

Circles

A

and

B

are graphed in the

x y

-plane. Circle

A

is represented by the equation

(x - 9)^{2} + (y + 9)^{2} = 81

and intersects the

x

-axis at the point

(r, s)

. Circle

B

has its center at

(r, s)

and has a radius of the same length as circle

A

. Which equation represents circle

B

x^{2} + (y - 9)^{2} = 81

x^{2} + (y + 9)^{2} = 81

(x - 9)^{2} + y^{2} = 81

(x + 9)^{2} + y^{2} = 81