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MHT CET202314 May 2023Morning ShiftMathematicsArea Under CurvesActual

The area bounded by the curves y=(x-1)^2 , y=(x+1)^2 and y= 1 4 is

Options

  1. A1 3 sq. units.
  2. B2 3 sq. units.
  3. C1 4 sq. units.
  4. D1 5 sq. units.

Correct answer

A. 1 3 sq. units.

Step-by-step solution

aligned Required area & =2 ₀^ 1 2 [(x-1)^2- 1 4 ] d x & =2 [ (x-1)^3 3 ]₀^ 1 2 - 1 2 [x]₀^ 1 2 & = 2 3 (- 1 8 +1 )- 1 2 ( 1 2 -0 ) & = 1 3 sq. units aligned

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