MCQMediumJEE Main 2024 · 31 January, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2024 · 31 January, Shift 1

The area of the region {(x,y):y24x, x<4, xy(x1)(x2)(x3)(x4)>0, x3}\left\{(x,y) : y^2 \le 4x,\ x < 4,\ \frac{xy(x-1)(x-2)}{(x-3)(x-4)} > 0,\ x \ne 3\right\} is:

  • A

    163\frac{16}{3}

  • B

    643\frac{64}{3}

  • C

    83\frac{8}{3}

  • D

    323\frac{32}{3}

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