JEE Main & Advanced Sample Paper JEE Main - Mock Test - 14

  • question_answer
    The area of the figure bounded by \[{{y}^{2}}=2x+1\] and \[x-y=1\] is

    A) \[\frac{2}{3}\]

    B) \[\frac{4}{3}\]

    C) \[\frac{8}{3}\]

    D) \[\frac{16}{3}\]

    Correct Answer: D

    Solution :

    Area of the region is given by \[A=\int\limits_{-1}^{3}{\left[ (y+1)-\left( \frac{{{y}^{2}}-1}{2} \right) \right]}\,dy=\frac{16}{3}\]


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