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If alpha, beta, gamma are the roots of t...

If `alpha, beta, gamma` are the roots of the equation `x^(3)+mx^(2)+3x+m=0`, then the general value of
`Tan^(-1)alpha+Tan^(-1)beta+Tan^(-1)gamma` is

A

`(2n+1)pi/2`

B

`npi`

C

`(npi)/2`

D

dependent upon the value of m

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  17. The sum of series sec^(-1)sqrt(2)+"sec"^(-1)(sqrt(10))/3+"sec"^(-1)(sq...

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  20. The value of cot(sum(n=1)^(23)cot^(-1)(1+sum(k=1)^(n)2k)) is

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