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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

If the area bounded by the curves x 2 + y ≤ 2 and y ≥ x is k 2 sq. units, then 2 k is equal to

Options

  1. A9
  2. B27
  3. C18
  4. D32

Correct answer

C. 18

Step-by-step solution

Required area is A = ∫ - 2 1 2 - x 2 - x d x = 2 x - x 3 3 - x 2 2 - 2 1 = 2 x - x 3 3 - x 2 2 - 2 1 = 6 - 9 3 + 3 2 = 9 2 sq. units ∴ 2 k = 18

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