A \( x^{2} + y^{2} - 8 x \pm 10 y + 16 = 0 \)
B \( x^{2} + y^{2} - 8 x \pm 10 y + 6 = 0 \)
C \( x^{2} - y^{2} - 8 x \pm 10 y + 16 = 0 \)
D \( x^{2} + y^{2} - 8 x \pm y + 16 = 0 \)
Correct Answer: Option A
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