If `alpha , beta and gamma` the roots of the equation `x^2(px + q) = r(x + 1)`. Then the value of determinant `|(1+alpha,1,1),(1,1+beta,1),(1,1,1+gamma)|` is (A) `alpha beta gamma` (b) `1+1/alpha+1/beta+1/gamma` (c) 0 (d) non of these

If alpha , beta , gamma are roots of the equation x^(2)(px+q)=r(x+1) , then the value of determinant |{:(1+alpha,1,1),(1, 1+beta,1),(1,1,1+gamma):}| is

If alpha, beta, gamma are roots of equation x^(3)-x-1=0 then the value of sum(1+alpha)/(1-alpha) is :

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

If alpha,beta,gamma be the roots of the equation x(1+x^(2))+x^(2)(6+x)+2=0 then the value of (1)/(alpha)+(1)/(beta)+(1)/(gamma)=

If alpha,beta,gamma are the roots of the equation (x^3+x^2+x+1)=0 then |{:(1+alpha^2," "1," "1),(" "1,1+beta^2," "1),(" "1," "1,1+gamma^2):}| is equal to

If alpha,beta,gamma are the roots of the equation (x^3+x^2+x+1)=0 then |{:(1+alpha," "1," "1),(" "1,1+beta," "1),(" "1," "1,1+gamma):}| is equal to

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)