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NDA2016MathematicsArea Under CurvesActual

Consider the curves y=|x-1| and |x|=2 What is the area of the region bounded by the curves and x-axis?

Options

  1. A3 square units
  2. B4 square units
  3. C5 square units
  4. D6 square units

Correct answer

C. 5 square units

Step-by-step solution

Bounded region is shaded. So area of bounded region has two triangles A C B and B D E . Area of A C B= 1 2 3 3= 9 2 Area of B D E= 1 2 1 1= 1 2 Area of region bounded by curves and x -axis is Area = A C B+ B D E= 9 2 + 1 2 =5 square units

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