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 :

α^{2} + pα + 1 = 0, β^{2} + pβ + 1 = 0

α + β = -p, αβ = 1

γ^{2} + qγ + 1 = 0, δ^{2} + qδ + 1 = 0

δ – γ = , γδ = 1

(α – γ)(α + δ)(β – γ)(β + δ)

= (α^{2} + α(δ – γ) – γδ)(β^{2} + β(δ – γ) – δγ)

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