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MCQMediumJEE Main 2023 · 29 January, Shift 2Applications of Integrals (Area)

Mathematics Question from JEE Main 2023 · 29 January, Shift 2

The area of the region A={(x,y):∣cos⁡x−sin⁡x∣≤y≤sin⁡x,0≤x≤π2}A = \{(x, y) : |\cos x - \sin x| \leq y \leq \sin x, 0 \leq x \leq \frac{\pi}{2}\} is:

  • A

    1−23+531 - \frac{\sqrt{2}}{3} + \frac{\sqrt{5}}{3}

  • B

    5+22−4.5\sqrt{5} + 2\sqrt{2} - 4.5

  • C

    23+1−53\frac{\sqrt{2}}{3} + 1 - \frac{\sqrt{5}}{3}

  • D

    5−22+1\sqrt{5} - 2\sqrt{2} + 1

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