10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

  • question_answer
    If one zero of the polynomial \[f(x)=5{{x}^{2}}+13x+m\] is reciprocal of the other, then the value of m is:

    A) 6

    B) 0

    C) 5

    D) 1

    Correct Answer: C

    Solution :

    Since one zero of the polynomial f(x) is reciprocal of the other, then
    Product of zeroes \[=\frac{\text{Constant term}}{\text{Coefficient of }{{\text{x}}^{2}}}\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\alpha \cdot \frac{1}{\alpha }=\frac{m}{5}\Rightarrow m=5\]
    So, option [c] is correct.


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