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MHT CET202310 May 2023Morning ShiftMathematicsArea Under CurvesActual

Area of the region bounded by the curve y= 49-x^2 and X -axis is

Options

  1. A49 sq. units
  2. B49 2 sq. units
  3. C49 4 sq. units
  4. D98 sq. units

Correct answer

B. 49 2 sq. units

Step-by-step solution

aligned Required area & =2 ₀^7 49-x^2 ~d x & =2 [ x 2 49-x^2 + 49 2 ⁻¹ ( x 7 ) ]₀^7 & =2 [ 7 2 49-49 + 49 2 ⁻¹ ( 7 7 ) ]-0 & =2 49 2 2 & = 49 2 sq. units aligned

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