In the $xy$-plane, circle $M$ is the graph of the equation $(x + 6a)^…

Question

Prompt

In the

x y

-plane, circle

M

is the graph of the equation

(x + 6 a)^{2} + (y - 38 a)^{2} = 36 a^{2}

, where

a

is a positive constant. Circle

V

is obtained by shifting circle

M

12a units to the right. Which equation represents circle

V

(x + 18 a)^{2} + (y - 38 a)^{2} = 36 a^{2}

(x + 6 a)^{2} + (y - 50 a)^{2} = 36 a^{2}

(x + 6 a)^{2} + (y - 26 a)^{2} = 36 a^{2}

(x - 6 a)^{2} + (y - 38 a)^{2} = 36 a^{2}