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99 Percentile Qs Bank for JEE MainMathematicsArea Under Curves

The area bounded by the curve y=|x-2|, x=1 , x=3 and X -axis is

Options

  1. A3 sq. units
  2. B2 sq. units
  3. C1 sq. units
  4. D4 sq. units

Correct answer

C. 1 sq. units

Step-by-step solution

aligned Required area & = ₁^3|x-2| d x & = ₁^2(2-x) d x+ ₂^3(x-2) d x & = [2 x- x^2 2 ]₁^2+ [ x^2 2 -2 x ]₂^3 & = 1 2 + 1 2 =1 sq. unit aligned

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