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Manipal MET2014MathematicsArea Under Curves

The area enclosed by the curves |y+x| 1 , |y-x| 1 and 2 x^2+2 y^y=1 is

Options

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

Correct answer

B. (2- 2 ) sq units

Step-by-step solution

The curves y+x 1 and |y-x| 1 form a square A B C D and 2 x^2+2 y^2=1 is a circle of radius 1 2 and centre (0,0) . aligned & Required Area &= Area of square - Area of circle &= (2- 2 ) sq units aligned

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