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|(1,1,1),(alpha,beta,gamma),(betagamma,g...

`|(1,1,1),(alpha,beta,gamma),(betagamma,gammaalpha,alphabeta)|`

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1,1,1alpha, beta, gammabeta gamma, gamma alpha, alpha beta] |

Evaluate the following: |[1,1,1],[alpha, beta, gamma],[beta gamma, gamma alpha, alpha beta]|

Evaluate the following: |[1,1,1],[alpha, beta, gamma],[beta gamma, gama alpha, alpha beta]|

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 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

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 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

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

|[1,alpha,alpha^3],[1,beta,beta^3],[1,gamma,gamma^3]|=(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+ beta+gamma)