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Question

If tan A = - 12 and tan B = - 13, then A + B =

[IIT 1967; MNR 1987; MP PET 1989]


A

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B

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C

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D

None of these

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Solution

The correct option is B


We have tan A = - 12 and tan B = - 13

Now, tan(A + B) = tanA+tanB1tanAtanB = 1213112.13 = -1

tan(A + B) = tan 3π4. Hence, A + B = 3π4.


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