10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    For a given value of k, the product of the zeroes of \[{{x}^{2}}-3kx+2{{k}^{2}}-1\] is 7, then zeroes are:

    A) rational numbers

    B) irrational numbers

    C) one rational, other irrational

    D) None of the above

    Correct Answer: A

    Solution :

    [a] Product of zeroes = 7
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,2{{k}^{2}}-1=7\,\,\Rightarrow \,\,2{{k}^{2}}=8\]
    \[\Rightarrow \,\,\,\,\,\,\,\,\,\,{{k}^{2}}=4\Rightarrow \,\,\,k=\pm 2\]


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