imo class 12 application of integrals

The area of the region bounded by y = |x| and y = 1 is:

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The area of the region bounded by y = |x| and y = 1 is:

  • A. 1 sq unit
  • B. 2 sq units
  • C. 3 sq units
  • D. 4 sq units

Answer: A) 1 sq unit

Explanation: The region is a triangle with vertices (−1,1), (0,0), (1,1). Base = 2, height = 1. Area = 1/2 × 2 × 1 = 1 sq unit.

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