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Question

If α,β,γ are the roots of x3+px2+qx+r=0 , then (α- 1βγ) (β – 1γα) (γ – 1αβ) =


  1. None of these

  2. - (r + 1)3 / r

  3. (r3 - 1)/r2

  4. (r3 + 1)/r2


Solution

The correct option is B

- (r + 1)3 / r


αβγ= -r

(α- 1βγ) (β – 1γα) (γ – 1αβ)

=(αβγ1)3(αβγ)2 = (r+1)3r2

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