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Questions  

tanA,tanB,tanCare the roots of the cubic equation x37x2+11x7=0 then A+B+C can be

a
π2
b
π
c
3π2
d
π4

detailed solution

Correct option is B

We have tanA+tanB+tanC=7 and tanA·tanB·tanC=7⇒tanA+tanB+tanC= tanA·tanB·tanC⇒A+B+C=nπ⇒A+B+C=π

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