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JEE Main202621 January 2026Evening ShiftMathematicsArea Under CurvesActual

If the area of the region (x, y): 1-2 x y 4-x², x 0, y 0 is , , N , gcd ( , )=1 , then the value of ( + ) is :

Options

  1. A67
  2. B91
  3. C73
  4. D85

Correct answer

C. 73

Step-by-step solution

Required area = 2 3 8 - 1 2 1 2 1 = 16 3 - 1 4 = 61 12 = + = 73

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