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MathsJEE Main 24 Jan 2026, Shift 1·Q19·MCQ·Moderate

Area under Curves · Area between curves

Let A1A_1 be the bounded area enclosed by the curves y=x2+2y = x^2 + 2, x+y=8x + y = 8 and yy-axis that lies in the first quadrant. Let A2A_2 be the bounded area enclosed by the curves y=x2+2y = x^2 + 2, y2=xy^2 = x, x=2x = 2, and yy-axis that lies in the first quadrant. Then A1−A2A_1 - A_2 is equal to
  1. (1)23(22+1)\dfrac23\left(2\sqrt2 + 1\right)
  2. (2)23(42+1)\dfrac23\left(4\sqrt2 + 1\right)
  3. (3)23(2+1)\dfrac23\left(\sqrt2 + 1\right)
  4. (4)23(32+1)\dfrac23\left(3\sqrt2 + 1\right)

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