10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If  \[\alpha ,\beta \] are the zeroes of \[f(x)=2{{x}^{2}}+8x-8,\] then:

    A) \[\alpha +\beta =\alpha \beta \]

    B) \[\alpha +\beta >\alpha \beta \]

    C) \[\alpha +\beta <\alpha \beta \]

    D) \[\alpha +\beta +\alpha \beta =0\]

    Correct Answer: A

    Solution :

    [a] Since \[\alpha ,\beta \] are the zeroes of \[2{{x}^{2}}+8x-8\]
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\alpha +\beta =-\frac{8}{2}=-4\]and \[\alpha \beta =-\frac{8}{2}=-4\]
    Hence, \[\alpha +\beta =\alpha \beta \]


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