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

  • question_answer
    If the roots of the given equation\[(2k+1){{x}^{2}}-(7k+3)x+k+2=0\]are reciprocal to each other, then the value of k will be [MP PET 1986]

    A) 0

    B) 1

    C) 2

    D) 3

    Correct Answer: B

    Solution :

    Let roots are \[\alpha \] and \[\frac{1}{\alpha }\],than \[\alpha .\frac{1}{\alpha }=\frac{k+2}{2k+1}\Rightarrow 1=\frac{k+2}{2k+1}\Rightarrow k=1\]


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