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MHT CET202121 Sep 2021Evening ShiftMathematicsArea Under CurvesActual

The area bounded by the parabola y^2=x , the straight line y=4 and Y axis is

Options

  1. A2 7 sq. unit
  2. B64 3 sq. units
  3. C16 3 sq. units
  4. D7 2 sq. units

Correct answer

B. 64 3 sq. units

Step-by-step solution

Refer figure Required area is shaded. Point of intersection of y^2=x and y=4 is A (16,4) aligned A & = ₀^4 y^2 d y & = [ y^3 3 ]₀^4= 64 3 sq. units aligned

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