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

  • question_answer
    The graph of parabola opens downwards, if..........

    A) \[a\ge 0\]

    B) \[a=0\]

    C) \[a<0\]

    D) \[a>0\]

    Correct Answer: C

    Solution :

    If \[a<0\] in \[f(x)=a{{x}^{2}}+bx+c,\] the parabola opens downward.
    In this case the vertex is the maximum, or the highest point of the parabola. Again, a large negative value of a makes the parabola narrow. A value close to zero makes it wide.
    So, option [c] is correct.

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