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Question

If A, B and C are the angles of a non-right angled triangle ABC, then the value of ∣∣ ∣∣tanA111tanB111tanC∣∣ ∣∣ is equal to

A
1
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B
2
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C
1
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D
2
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Solution

The correct option is B 2
∣ ∣tanA111tanB111tanC∣ ∣

=tanA(tanBtanC1)(tanC1)+(1tanB)
=tanAtanBtanCtanAtanBtanC+2
=2 as tanA+tanB+tanC=tanAtanBtanC

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