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MHT CET202410 May 2024Morning ShiftMathematicsArea Under CurvesActual

Area (in sq.units) lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x=0 and x=2 is

Options

  1. A2
  2. B3 .
  3. C4

Correct answer

A. 2

Step-by-step solution

aligned & x^2+y^2=4 & y^2=4-x^2 aligned aligned & = ₀^2 4-x^2 d x & = [ x 2 4-x^2 + 4 2 ⁻¹ ( x 2 ) ]₀^2 aligned = [ 2 2 4-(2)^2 + 4 2 ⁻¹ ( 2 2 )- 0 2 4-0 - 4 2 ⁻¹ ( 0 2 ) ] aligned & =2 2 & = sq. aligned

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