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JEE Main2013MathematicsArea Under CurvesActual

The area under the curve y=| x- x| , 0 x 2 , and above x -axis is :

Options

  1. A2 2
  2. B2 2 -2
  3. C2 2 +2
  4. D0

Correct answer

B. 2 2 -2

Step-by-step solution

y=| x- x| aligned Required area & =2 ₀^ / 4 ( x- x) d x & =2 [ x+ x 0₀^ / 4 ] & =2 [ 2 2 -1 ]=(2 2 -2) sq. units aligned

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