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If m is the slope of a common tangent to the ellipse x²/16 + y²/9 = 1 and the circle x² + y² = 12, then 12*m² equals:
- 6
- 9
- 10
- 12
Correct answer: 9
Solution
Equating the tangency conditions gives 16*m² + 9 = 12 + 12*m², so m² = 3/4 and 12*m² = 9.
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