If alpha,beta,gamma are the roots of p x...

If `alpha,beta,gamma` are the roots of `p x^3+q x^2+r=0,` then the value of the determinant `|(alphabeta,betagamma,gammaalpha),(betagamma,gammaalpha,alphabeta),(gammaalpha,alphabeta,betagamma)|` is a. `p` b. `q` c. `0` d. `r`

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If alpha,beta,gamma are the roots of p x^3+q x^2+r=0, then the value of the determinant |(alphabeta,betagamma,gammaalpha),(betagamma,gammaalpha,alphabeta),(gammaalpha,alphabeta,betagamma)| is p b. q c. 0 d. r

If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0 , then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, then find he value of (alpha-1/(betagamma))(beta-1/(gammaalpha))(gamma-1/(alphabeta)) .

If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the value of |{:(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta):}| is

If alpha, beta, gamma are the roots of the equation x^(2)=px^(2)+qx-r=0, then the value of sum(alphabeta)/(gamma) is equal to

If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx-r=0 , then the value of (alphabeta)/(gamma)+(betagamma)/(alpha)+(gammaalpha)/(beta) is equal to

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

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

Let alpha, beta and gamma be the roots of equation x^(3)+x+1=0 , then (alpha beta(alpha+beta)+betagamma(beta+gamma)+gamma alpha(gamma+alpha))/(alpha^(2)+beta^(2)+gamma^(2)) is equal to

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