Question
If every pair of the equations x2+px+qr=0 , x2+qx+rp=0 , x2+rx+pq=0 have a common root, then the sum of three common roots is
Answer: Option A
:
A
Let the roots beα,β;β,γ andγ,α respectively.
∴α +β = -p,β +γ= -q,γ +α= -r
Adding all, we get∑α = −(p+q+r)2 etc.
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:
A
Let the roots beα,β;β,γ andγ,α respectively.
∴α +β = -p,β +γ= -q,γ +α= -r
Adding all, we get∑α = −(p+q+r)2 etc.
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