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Q.

If  α,  β,  γ are the roots of x3+qx+r=0 then 1α+β-γ  +1β+γ-α +1γ+α-β  =

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a

q2r

b

qr

c

2qr

d

−  2qr

answer is A.

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Detailed Solution

α+β+γ=0 ∑1α+β−γ=∑1−2γ=1-2α+1-2β+1-2γ                           =−12(∑αβαβγ)                             = q2r
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