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Find the eccentricity of the conic given by (x - 3)² + (y - 4)² = y²/9.
- sqrt(3)/2
- 1/3
- 1/(3*sqrt(2))
- 1/sqrt(3)
Correct answer: 1/3
Solution
Writing it as sqrt((x-3)²+(y-4)²) = (1/3)|y| shows focus (3,4), directrix y=0, and eccentricity 1/3.
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