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MHT CET20226 Aug 2022Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units) of the region described by A= [(x, y) / x^2+y^2 1-x ] is

Options

  1. A( 2 - 2 3 )
  2. B( 2 + 4 3 )
  3. C( 2 - 4 3 )
  4. D( 2 + 2 3 )

Correct answer

B. ( 2 + 4 3 )

Step-by-step solution

aligned & A= (x, y): x^2+y^2 1 and y^2 1-x & = Area of semicircle + Area of the region bounded by parabola and & y-axis & = 1^2 2 +2 ₀^1 1-x d x & = 2 +2 2 3 [-(1-x)^ 3 / 2 ]₀^1 & = 2 + 4 3 [-0^ 3 / 2 +1^ 3 / 2 ] & = 2 + 4 3 aligned

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