If `x_1, x_2,` and `x_3`, are the positive roots of the equation `x^3 - 6x^2 +3px -2p=0 , p in R` then the value of `sin^-1(1/x_1+1/x_2)+cos^-1(1/x_2+1/x_3)-tan^-1(1/x_3+1/x_1)`

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , p inR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , p inR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , pinR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , pinR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

If x_(1),x_(2),x_(3) are the real roots of the equation x^(3)-x^(2)tantheta+xtan^(2)theta+tantheta=0and0ltthetalt(pi)/(4) then the value of tan^(-1)x_(1)+tan^(-1)x_(2)+tan^(-1)x_(3)" at "theta=(pi)/(12) is

If x_(1),x_(2),x_(3) are the roots of the equation x^(3)-3px^(2)+3qx-1=0 then find the centroid of the co-ordinates of whose vertices are (x_(1),(1)/(x_(1)))(x_(2),(1)/(x_(2))) and (x_(3),(1)/(x_(3)))

Let x_(1),x_(2), x_(3) be roots of equation x^3 + 3x + 5 = 0 . What is the value of the expression (x_(1) + 1/x_(1))(x_(2)+1/x_(2)) (x_(3)+1/x_(3)) ?

let x_(1),x_(2),x_(3) be the roots of equation x^(3)+3x+5=0 what is the value of the expression (x_(1)+(1)/(x_(1)))(x_(2)+(1)/(x_(2)))(x_(3)+(1)/(x_(3)))=?