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AP EAMCET2015MathematicsArea Under Curves

The area of the region described by (x, y) / x^2+y^2 1 . and .y^2 1-x is

Options

  1. A2 - 2 3
  2. B2 + 2 3
  3. C2 + 4 3
  4. D2 - 4 3

Correct answer

C. 2 + 4 3

Step-by-step solution

Region: (x, y) x^2+y^2 1 . and .y^2 1-x Required area aligned & A=2 [ _ -1 ^0 1-x d x+ ₀^1 1-x d x ] & =2 [ x 2 1-x^2 + 1 2 ⁻¹ x ]_ -1 ^0+2 [ -2 3 (1-x)^ 3 2 ]₀^1 & = 2 + 4 3 aligned

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