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Question

tan-1111+tan-1211 is equal to
(a) 0
(b) 1/2
(c) − 1
(d) none of these

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Solution

(d) none of these

We know that tan-1x+tan-1y=tan-1x+y1-xy.
Now,
tan-1111+tan-1211=tan-1111+2111-111211=tan-1311121-2121=tan-1311119121=tan-133119=0.27

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