imo class 12 application of integrals

E-learning Hub Yudgam's new banner has a large graphic shaped like an ellipse with equation x²/25 + y²/16 = 1. What is the total area of this graphic?

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E-learning Hub Yudgam's new banner has a large graphic shaped like an ellipse with equation x²/25 + y²/16 = 1. What is the total area of this graphic?

  • A. 20π
  • B. 41π
  • C. 400π
  • D. 100π

Answer: A) 20π

Explanation: For ellipse x²/a² + y²/b² = 1, area is πab. Here a = 5, b = 4. Area = π × 5 × 4 = 20π sq units.

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