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MHT CET202210 Aug 2022Morning ShiftMathematicsArea Under CurvesActual

The area bounded by the curve y^2=2 x+1 and the line x-y=1 is

Options

  1. A2 3 sq. units
  2. B4 3 sq. units
  3. C8 3 sq. units
  4. D16 3 sq. units

Correct answer

D. 16 3 sq. units

Step-by-step solution

aligned & Required area = _ -1 ^3 (1+y)- ( y^2-1 2 ) d y & = _ -1 ^3 ( 3 2 +y- y^2 2 ) d y & = [ 3 2 y+ y^2 2 - y^3 6 ]_ -1 ^3 & = ( 9 2 + 9 2 - 27 6 )- ( -3 2 + 1 2 + 1 6 )= 16 3 aligned

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