If each pair of the equation x2+ax+b=0,x2+bx+c=0 and x2+cx+a=0 has a common root, then product of all common roots is

If each pair of the equation x2+ax+b=0,x2+bx+c=0 and x2+cx+a=0 has a common root, then product of all common roots is

  1. A

    abc

  2. B

    2abc

  3. C

    ab+bc+ca

  4. D

    2ab+bc+ca

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    Solution:

    Let the roots be α,β,β,γ and γ,α then,
    αβ=b, βγ=c and γα=aαβγ=abc

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