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For an ellipse with semi-axes a and b and focal distance c, which relation holds?

Aa² = b² - c²
Bc² = a² + b²
Ca² = b² + c²
Db² = a² + c²
Answer & Solution
Correct answer: C. a² = b² + c²
Equating the focal distance sums at the end of each axis gives a = sqrt(b² + c²), so a² = b² + c².
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