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JEE Main202529 Jan 2025Morning ShiftMathematicsArea Under CurvesActual

Let the area of the region ( (x, y): 2 y x^2+3, y+|x| 3, y |x-1| ) be A. Then 6 A is equal to :

Options

  1. A16
  2. B12
  3. C14
  4. D18

Correct answer

C. 14

Step-by-step solution

A Rectangle ABDE - Area of region EDC aligned & A 4-2 ₀^1(3-x)- ( x^2+3 2 ) d x & A 4-2 3 x- x^2 2 - x^3 6 - 3 2 x ₀^1 & A 4-2 3- 1 2 - 1 6 - 3 2 = 7 3 aligned So 6 ~A =14

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