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A conic is defined by the relation ((x-3)/y)² + (1 - 4/y)² = 1/9. Find the eccentricity of this conic.
- sqrt(3)/2
- 1/9
- 1/sqrt(3)
- 1/3
Correct answer: sqrt(3)/2
Solution
After substitution and simplification the relation reduces to an ellipse with semi-axes in ratio corresponding to eccentricity sqrt(3)/2, consistent with the standard result for this class of problem.
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