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

  • question_answer
    If the product of the zeroes of the quadratic polynomial \[f(x)=a{{x}^{2}}-6x-6\] is 4, then the value of a is:

    A) \[\frac{-3}{2}\]

    B) \[\frac{3}{2}\]

    C) \[\frac{2}{3}\]

    D) \[\frac{-2}{3}\]

    Correct Answer: A

    Solution :

    We have, \[f(x)=a{{x}^{2}}-6x-6\]
    Now,    Product of zeroes \[=\frac{\text{Constant term}}{\text{Coefficient of }{{\text{x}}^{2}}}\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,4=\frac{-6}{a}\]              (given)
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,a=\frac{-3}{2}\]
    So, option [a] is correct.

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