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

  • question_answer
    If one root of \[5{{x}^{2}}+13x+k=0\] is reciprocal of the other, then \[k\]= [MNR 1980, 1983]

    A) 0

    B) 5

    C) 1/6

    D) 6

    Correct Answer: B

    Solution :

    Let first root \[=\alpha \]  and second root =\[\frac{1}{\alpha }\] Then\[\alpha \,.\frac{1}{\alpha }=\frac{k}{5}\,\,\,\Rightarrow k=5\].


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