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Most Important Selected Qs for JEE AdvancedMathematicsArea Under Curves

The area of the region bounded between the curves y=e |x| | x |, x^2+y^2-2(|x|+|y|)+1 0 and x -axis where |x| 1 , if is the x -coordinate of the point of intersection of curves in 1^ st quadrant, is

Options

  1. A4 [ ₀^a ex x d x+ _ ^1 (1- 1-(x-1)^2 ) d x ]
  2. B4 [ ₀^ e x x d x- ₁^ (1- 1-(x-1)^2 ) d x ]
  3. C2 [- ₀^a ex x+ _ ^1 (1- 1-(x-1)^2 ) d x ]
  4. D2 [ ₀^ ex x+ _ ^1 (1- 1-(x-1)^2 ) d x ]

Correct answer

C. 2 [- ₀^a ex x+ _ ^1 (1- 1-(x-1)^2 ) d x ]

Step-by-step solution

Required area is 2 [ ₀^a e x x+ ₁^a (1- 1-(x-1)^2 ) d x ]

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