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COMEDK2017MathematicsArea Under Curves

To area bounded by the lines |x|+|y|=1

Options

  1. A1 sq. unit
  2. B2 sq. units
  3. C2 2 sq. units
  4. D4 sq . units

Correct answer

B. 2 sq. units

Step-by-step solution

We have, x+y=1 x, y 0...(i)-x+y=1 x Required area is the area of shaded region aligned &=4 ₀¹(1-x) d x &=4 [x- x² 2 ]₀¹=4 1 2 =2 sq. units aligned

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