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MHT CET20243 May 2024Morning ShiftMathematicsArea Under CurvesActual

The area (in sq. units) of the region bounded by the curve x^2=4 y and the straight line x=4 y-2 is

Options

  1. A9 8
  2. B7 8
  3. C5 4
  4. D3 4

Correct answer

A. 9 8

Step-by-step solution

The points of intersection of x^2=4 y and x=4 y-2 are (2,1) and (-1, 1 4 ) . Required area aligned & = _ -1 ^2 1 4 (x+2) d x- _ -1 ^2 1 4 x^2 ~d x & = 1 4 [ x^2 2 +2 x ]_ -1 ^2- 1 4 [ x^3 3 ]_ -1 ^2 & = 9 8 sq. units aligned

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