imo class 12 application of integrals

The area bounded by the curves y = √(4 − x²) and y = 0 is:

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The area bounded by the curves y = √(4 − x²) and y = 0 is:

  • A. 2π sq units
  • B. 4π sq units
  • C. π sq units
  • D. π/2 sq units

Answer: A) 2π sq units

Explanation: y = √(4 − x²) represents the upper semicircle of radius 2. Area = (1/2) × π × 2² = 2π sq units.

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