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Question
If A, B, C are the angles of a triangle such that C is an obtuse angle, then
Options:
A .  tan A.tan B
B .  tan A.tan B>1
C .  tan A.tan B=1
D .  None
Answer: Option A
:
A
Since C is obtuse therefore A and B both are acute and A + B is also acute.
Hence tanA,tanB and tan(A+B) are all + ive
tan(A+B)=tanA+tanB1tanAtanB=+ive
Above is possible only when tanAtanB<1

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