If `alpha ,beta, gamma` are roots of the cubic equation `x^(3)+2x^(2)-x-3=0` then Area of the triangle with vertices `(alpha,beta),(beta,gamma),(gamma,alpha)` is:

If alpha,beta,gamma are the real roots of the equation x^(3)-3ax^(2)+3bx-1=0 then the centroid of the triangle with vertices (alpha,(1)/(alpha))(beta,(1)/(beta)) and (gamma,1/ gamma) is at the point

alpha , beta , gamma are the roots of the equation x^(3)-3x^(2)+6x+1=0 . Then the centroid of the triangle whose vertices are (alpha beta,1/(alpha beta)) , (beta gamma, 1/(beta gamma)) , (gamma alpha,1/(gamma alpha)) is

If alpha,beta,gamma are the roots of the equation 2x^(3)x^(2)+x-1=0 then alpha^(2)+beta^(2)+gamma^(2)=

If alpha,beta,gamma,delta are the roots of the equation 3x^(4)-8x^(3)+2x^(2)-9=0 then sum alpha beta=

If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then the value of the determinant [{:(,alpha,beta,gamma),(,beta,gamma,alpha),(,gamma,alpha,beta):}]

If alpha,beta,gamma are the roots of the equation x^(3)+3x-2=0 then the equation whose roots are alpha(beta+gamma),beta(gamma+alpha),gamma(alpha+beta) is

If alpha, beta, gamma are the roots of the equation x^3+2x^2-5x+3=0 then the equation whose roots are alpha-1/(betagamma), beta-1/(gamma alpha), gamma-1/(alphabeta) is