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

  • question_answer
    If roots of \[{{x}^{2}}-7x+6=0\] are \[\alpha ,\beta \], then \[\frac{1}{\alpha }+\frac{1}{\beta }\]= [RPET 1995]

    A) 6/7

    B) 7/6

    C) 7/10

    D) 8/9

    Correct Answer: B

    Solution :

    \[\alpha +\beta =7,\alpha \beta =6.\]So \[\frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }=\frac{7}{6}\]


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