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

  • question_answer
    The graph of \[{{\text{x}}^{\text{2}}}+\text{4}=0:\]

    A) intersects X-axis at two distinct points

    B) touches X-axis at a point

    C) neither touches nor intersects X-axis

    D) either touches or intersects X-axis.

    Correct Answer: C

    Solution :

    The graph of \[{{x}^{2}}+4=0\]
    The\[{{x}^{2}}\]is positive so the general shaph is ‘U’. Since the coefficient of x is zero so the graph is central about the Y-axis. The constant part of the equation is of value \[+4,\] so it lifts the vertex up from \[y=0\] to\[y=4\].
    \[\therefore \] The graph of \[{{x}^{2}}+4=0,\] neither touches nor intersects X-axis.
    So, option [c] is correct.

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