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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    If the area bounded by the parabola\[y=2-{{x}^{2}}\]and the line\[x+y=0\]is A sq unit, then A equals:

    A)  1/2                                       

    B)  1/3                       

    C)  2/9                       

    D)         9/2

    E)  9

    Correct Answer: D

    Solution :

    Required area \[=\int_{-1}^{2}{(2-{{x}^{2}}+x})dx\]                      \[={{\left( 2x-\frac{{{x}^{3}}}{3}+\frac{{{x}^{2}}}{2} \right)}^{2}}\]                 \[=4-\frac{8}{3}+2+2-\frac{1}{3}-\frac{1}{2}\] \[=\frac{9}{2}sq\text{ }unit\]


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