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MHT CET20225 Aug 2022Evening ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the line 2 y+x=8, x- axis and the lines x=2 and x=4 is

Options

  1. A6 sq. units
  2. B5 sq. units
  3. C4 sq. units
  4. D10 sq. units

Correct answer

B. 5 sq. units

Step-by-step solution

The required area = ₂^4 8- x 2 dx = [4 x- x^2 4 ]₂^4=(16-4)-(8-1)=5 sq unit

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