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

  • question_answer
    If the roots of the quadratic polynomial are equal, and the discriminant \[D={{b}^{2}}-4ac,\] then:

    A) \[D>0\]

    B) \[D<0\]     

    C) \[D\ge 0\]

    D) \[D=0\]

    Correct Answer: D

    Solution :

    Given that, the zeroes of the polynomial \[a{{x}^{2}}+bx+c\], \[c\ne 0\] are equal. If the roots are equal, then the value of discriminant has to be zero.
    \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,D={{b}^{2}}-4ac=0\]
    So. option [d] is correct.

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