JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Relation between roots and coefficients

  • question_answer
    If p and q are the roots of \[{{x}^{2}}+px+q=0,\] then  [IIT 1995;AIEEE 2002; UPSEAT 2003;RPET 2001]

    A) \[p=1,q=-2\]

    B) \[p=-2,q=1\]

    C) \[p=1,q=0\]

    D) \[p=-2,q=0\]

    Correct Answer: A

    Solution :

    Obviously \[p+q=-p\] and \[pq=q\Rightarrow p=1\]and\[q=-2\].


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