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If A,B,C are angles of a triangle such that A is obtuse then

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tanAtanB>1

tanBtanC<1

tanCtanA>1

tanAtanBtanC>1

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detailed solution

Correct option is B

A is obtuse⇒B+C<90° ⇒tanB+C>0 ⇒tanB+tanC1-tanBtanC>0 ⇒1-tanBtanC>0 ⇒tanBtanC<1

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