If `alpha,beta,gamma` are the cube roots of `p(p<0),` then for any `x ,ya n dz ,` `(xalpha+ybeta+zgamma)/(xbeta+ygamma+zalpha)=` `1/2(-1-isqrt(3))` (b) `1/2(1+isqrt(3))` `1/2(1-isqrt(3))` (d) None of these

If alpha,beta,gamma are the cube roots of p, then for any x,y,z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If alpha,beta,gamma are the cube roots of p then for any x,y and z(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha) is

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=

If alpha,beta,gamma are cube roots of of p<0 then for any real x,y,z;(x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

If alpha,beta,gamma are the roots of px^(2)+qx^(2)+r=0 then the value of the determinant det[[alpha beta,beta gamma,gamma alphabeta gamma,gamma alpha,alpha betagamma alpha,alpha beta,beta gamma]] is p b.q c.0 d.r

If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the centroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma))quad is(p,p)(b)(p,0)(p,q)(d)(q,0)

If alpha,beta,gamma are the real roots of the equation,x^(3)-3px^(2)+3qx-1=0, the cetroid of the triangle whose vertices are (alpha,(1)/(alpha)),(beta,(1)/(beta)),(gamma,(1)/(gamma)) is: a.(p,p) b.(p,0) c.(p,q) d.(q,0)

If alpha,beta,gamma are the roots of x^(3)+p_(1)x^(2)+p_(2)x+p_(3)=0 Then sum of roots

If alpha , beta , gamma are cube roots of p lt 0 , then for any x , y,z (alpha^(2)x^(2)+beta^(2)y^(2)+gamma^(2)z^(2))/(beta^(2)x^(2) + gamma^(2)y^(2) + alpha^(2)z^(2)) is