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MHT CET202416 May 2024Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units) bounded between the parabolas x^2= y 4 and x^2=9 y and the line y=2 is

Options

  1. A20 2
  2. B10 2 3
  3. C20 2 3
  4. D10 2

Correct answer

C. 20 2 3

Step-by-step solution

Required area aligned & =2 ₀^2 (3 y - y 2 ) d y & =2 [3 [ y^ 3 2 3 2 ]₀^2- 1 2 [ y^ 3 2 3 2 ]₀^2 ] aligned aligned & =2 [2 (2^ 3 2 -0 )- 1 3 (2^ 3 2 -0 ) ] & =2 [2(2 2 )- 1 3 (2 2 ) ] & = 20 2 3 aligned

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