If every pair of the equations x2+px+qr=0, x2+qx+rp=0, x2+rx+pq=0have a common root, then the sum of three common roots is

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-(p+q+r)2

-p+q+r2

-(p+q+r)

-p+q+r

answer is A.

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Detailed Solution

Let the roots be α, β; β, γ and γ, α respectively.∴ α+β=-p, β+γ=-q, γ+α=-rAdding all, we get ∑ α=-(p+q+r)/2 etc.

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