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

  • question_answer
    If the roots of equation \[5{{x}^{2}}-7x+k=0\] are reciprocal to each other, then value of \[k\] is   [RPET 1995; MP PET 2002]

    A) 5

    B) 2

    C) 1/5

    D) 1

    Correct Answer: A

    Solution :

    \[\alpha .\frac{1}{\alpha }=\frac{k}{5}\]or\[k=5\].


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