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MHT CET20239 May 2023Morning ShiftMathematicsArea Under CurvesActual

The area (in sq. units) of the region A = (x, y) / y^2 2 x y+4

Options

  1. A30
  2. B53 3
  3. C16
  4. D18

Correct answer

D. 18

Step-by-step solution

Given that y^2 2 x y+4 array ll & x= y^2 2 and x=y+4 & y^2 2 =y+4^2 & y^2-2 y-8=0 & y=4 or -2 & x=8 or 2 array A = _ -2 ^4 (y+4- y^2 2 ) d y aligned & A = [ y^2 2 +4 y- y^3 6 ]_ -2 ^4 & A= (8+16- 64 6 )- (2-8+ 8 6 ) & A =18 & aligned

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