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AP EAMCET2011MathematicsArea Under Curves

The area (in square units) of the region bounded by the curves x=y^2 and x=3-2 y^2 is

Options

  1. A3 2
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

Given curves are x=y^2 and x=3-2 y^2 y^2=- (x-3) 2 Point of intersections are (1,1) and (1,-1) aligned & Required area =2 ₀^1 (x₂-x₁ ) d y & =2 ₀^1 [ (3-2 y^2 )-y^2 ] d y=2 [ (3 y- 3 y^3 3 ) ]₀^1 & =2[3-1]=4 aligned

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