Q. 8

Mark the Correct alternative in the following:

If α, β are the roots of the equation the roots of the equation , then

A.

B.

C.

D. none of these

Answer :

α2 + pα + 1 = 0, β2 + pβ + 1 = 0

α + β = -p, αβ = 1


γ2 + qγ + 1 = 0, δ2 + qδ + 1 = 0


δ – γ = , γδ = 1


(α – γ)(α + δ)(β – γ)(β + δ)


= (α2 + α(δ – γ) – γδ)(β2 + β(δ – γ) – δγ)










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