imo class 12 application of integrals

What is the area enclosed by the ellipse x²/16 + y²/9 = 1?

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What is the area enclosed by the ellipse x²/16 + y²/9 = 1?

  • A. 12π
  • B. 25π
  • C. 16π
  • D. 9π

Answer: A) 12π

Explanation: Area of ellipse x²/a² + y²/b² = 1 is πab. Here a = 4, b = 3. Area = π(4)(3) = 12π sq units.

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