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MHT CET202122 Sep 2021Morning ShiftMathematicsArea Under CurvesActual

The area bounded between the curve x^2=y and the line y=4 x is

Options

  1. A32 3 sq. units
  2. B8 3 sq. units
  3. C1 3 sq. units
  4. D16 3 sq. units

Correct answer

A. 32 3 sq. units

Step-by-step solution

Required area is shaded. Point of intersection of given curves are (0,0) and (4,16) aligned & A= ₀^4 (4 x-x^2 ) d x & =4 ₀^4 x d x- ₀^4 x^2 d x=4 [ x^2 2 ]₀^4- [ x^3 3 ]₀^4 & =2(16)- (4)^2 3 =32- 64 3 = 32 3 sq. units aligned

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