If a,b are the roots of the equation `x(x-3)=2`, then value of `tan^-1a+tan^-1b=?`

IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0 , then the value of tan^(-1)alpha+tan^(2)beta is

If alpha and beta are the roots of the equation x^(2)+5|x|-6=0 , then the value of the |tan^(-1)alpha-tan^(-1)beta| is

If alpha and beta are roots of the equation x^(2)+5|x|-6=0, then the value of |tan^(-1)alpha-tan^(-1)beta| is

Given that tan A, tan B are the roots of the equation x^(2)bx+c=0, the value of sin^(2)(alpha+beta) is

If alpha,beta, gamma re the roots of the equations x^3+px^2+2x+p=0 then the general value of tan^-1 alpha+tan^-1 beta+tan^-1 gamma is (A) npi (B) (npi)/2 (C) (2n+1) pi/2 (D) dependent upon the value of p.