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Math·Geometry and Trigonometry·Circles

hard

$(x-5{)}^2+(y+3{)}^2=36$

The given equation represents circle $P$ in the $xy$-plane. Circle $Q$ has a center that is 3 units to the right of and 2 units below the center of circle $P$. Circle $Q$ has a diameter that is double the diameter of circle $P$. Which equation represents circle $Q$?

A

((x - 8)^2 + (y + 5)^2 = 144)

B

((x - 2)^2 + (y - 1)^2 = 144)

C

((x - 8)^2 + (y + 5)^2 = 72)

D

((x - 2)^2 + (y - 1)^2 = 72)