\( A B C D \) is a square whose side is a. The equation of the circle circumscribing the square,...

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\( A B C D \) is a square whose side is a. The equation of the circle circumscribing the square, taking \( A B \) and \( A D \) as axes of reference, is
(A) \( x^{2}+y^{2}+a x+a y=0 \)
(B) \( x^{2}+y^{2}+a x-a y=0 \)
(C) \( x^{2}+y^{2}-a x-a y=0 \)
(D) \( x^{2}+y^{2}-a x+a y=0 \)
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