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If \[{{\tan }^{-1}}x+{{\tan }^{-1}}y=\frac{\pi }{4}\] then   [Karnataka CET 2005]

A. \[x+y+xy=1\]
B. \[x+y-xy=1\]
C. \[x+y+xy+1=0\]
D. \[x+y-xy+1=0\]
Answer» C. \[x+y+xy+1=0\]


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