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

  • question_answer
    If a and b are roots of \[{{x}^{2}}-px+q=0\], then \[\frac{1}{a}+\frac{1}{b}=\] [Orissa JEE 2004]

    A) \[\frac{1}{p}\]

    B) \[\frac{1}{q}\]

    C) \[\frac{1}{2p}\]

    D) \[\frac{p}{q}\]

    Correct Answer: D

    Solution :

    Roots of given equation \[{{x}^{2}}-px+q=0\] is \[a\] and \[b\] i.e., \[a+b=p\]         ??(i) and \[ab=q\] ??(ii) Then\[\frac{1}{a}+\frac{1}{b}=\frac{a+b}{ab}=\frac{p}{q}\].


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