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Question

Evaluate tan-1(a - b)/(1+ab)+ tan-1(b - c)/(1+bc)+ tan-1(c - a)/(1+cb) ; ab,bc,ac>-1


A

-1

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B

π

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C

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D

0

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Solution

The correct option is C


tan-1(a - b)/(1+ab)+ tan-1(b - c)/(1+bc)+ tan-1(c - a)/(1+cb)

= (tan-1a - tan-1b) + (tan-1b - tan-1c) + (tan-1c - tan-1a)
= 0


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