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MHT CET202120 Sep 2021Evening ShiftMathematicsArea Under CurvesActual

The area bounded by the parabola y=x^2 and the line y=x is

Options

  1. A1 2 sq. units
  2. B1 3 sq. units
  3. C2 3 sq. units
  4. D1 6 sq. units

Correct answer

D. 1 6 sq. units

Step-by-step solution

The required area is shaded The point of intersection of the curves are x^2=x x(x-1)=0 i.e. O(0,0) and P(1,1) aligned & A= ₀^1 (x-x^2 ) d x & = [ x^2 2 ]₀^1- [ x^3 3 ]₀^1= 1 2 - 1 3 = 1 6 aligned

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