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Math·Geometry and Trigonometry·Circles

hard

In the $xy$-plane, circle $M$ is the graph of the equation $(x+6a{)}^2+(y-38a{)}^2=36a^2$, where $a$ is a positive constant. Circle $V$ is obtained by shifting circle $M$ $12a$ units to the right. Which equation represents circle $V$?

A

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

B

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

C

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

D

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