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NDA 2025 · PYQ · Ellipse · easy

If any point on an ellipse is (3sinα, 5cosα), then what is the eccentricity of the ellipse?

  1. A.4/3
  2. B.4/5✓ Correct
  3. C.3/4
  4. D.1/2

Explanation

Ellipse: x²/9 + y²/25 = 1. Here a² = 25, b² = 9 (major axis along y). b² = a²(1-e²): 9 = 25(1-e²), so 1-e² = 9/25, e² = 16/25, e = 4/5.
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