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Find the area (in square units) of the quadrilateral formed by the tangents drawn at the endpoints of the latera recta of the ellipse x²/9 + y²/5 = 1.
- 27
- 27/2
- 27/4
- 18
Correct answer: 27
Solution
With a = 3, b² = 5, e = 2/3, the area equals 2 a² / e = 2*9/(2/3) = 27 square units.
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