In \( \triangle A B C \), if \( \cos A+\sin A-\frac{2}{\cos B+\sin B}=0 \), then \( \frac{a+b}{c...

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In \( \triangle A B C \), if \( \cos A+\sin A-\frac{2}{\cos B+\sin B}=0 \), then \( \frac{a+b}{c} \) is equal to
(A) \( \sqrt{2} \)
(B) 1
(C) \( \frac{1}{\sqrt{2}} \)
(D) \( 2 \sqrt{2} \)
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