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If alpha, beta, gamma, delta are the sol...

If `alpha, beta, gamma, delta` are the solutions of the equation `tan(theta + (pi)/(4)) = 3 tan 3 theta`, no two of which have equal tangents.
The value of `tan alpha + tan beta + tan gamma + tan delta` is

A

`1//3`

B

`8//3`

C

`-8//3`

D

0

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The correct Answer is:
D
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