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In DeltaABC, if tanA+tanB+tanC=6 and tan...

In `DeltaABC,` if tanA+tanB+tanC=6 and tanA.tanB=2` then tanC= . .

A

3

B

4

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A

We have, `tanA+tanB+tanC=6`
`impliesanAtanBtanC=6` . . . (i)
and `tanA.tanB=2`
From Eqs. (i) and (ii) we get, tanC=3
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