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The points of intersection of the ellipse x²/16 + y²/b² = 1 and the circle x² + y² = 4b (with b > 4) lie on the curve y² = 3x². Find b.
- 12
- 5
- 6
- 10
Correct answer: 12
Solution
Substituting y² = 3x² into both curves gives x² = b and a relation that solves to b = 12.
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