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JEE Main2007MathematicsArea Under CurvesActual

The area enclosed between the curves y^2=x and y=|x| is

Options

  1. A2 / 3
  2. B1
  3. C1 / 6
  4. D1 / 3

Correct answer

C. 1 / 6

Step-by-step solution

A= ₀^1( x -x) d x= [ 2 3 x^ 3 / 2 - x^2 2 ]₀^1= 2 3 - 1 2 = 1 6 .

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