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MHT CET202311 May 2023Morning ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the parabola y=x^2 and the curve y=|x| is

Options

  1. A1 2 sq. units
  2. B1 3 sq. units
  3. C1 4 sq. units
  4. D1 6 sq. units

Correct answer

B. 1 3 sq. units

Step-by-step solution

aligned Required area & =2 ₀^1 (x-x^2 ) d x & =2 [ x^2 2 - x^3 3 ]₀^1 & =2 ( 1 2 - 1 3 )= 1 3 sq.units aligned

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