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

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

Text Solution

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The correct Answer is:
d
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Knowledge Check

  • If alpha, beta , gamma, delta are the four solutions of the equations tan (theta + (pi)/( 4)) = 3 tan 3 theta . No two of which have equal tangents , then the value of tan alpha + tan beta + tan gamma + tan delta =

    A
    1
    B
    0
    C
    `-1`
    D
    4

  • 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 (1)/(tan alpha)+ (1)/(tan beta)+(1)/(tan gamma)+(1)/(tan delta) is

    A
    `-8`
    B
    8
    C
    `2//3`
    D
    `1//3`

  • 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 (1)/(tan alpha) + (1)/(tan beta) + (1)/(tan gamma) + (1)/(tandelta) is

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