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Find a common tangent to the two conics x² = 6y and 2x² - 4y² = 9.
- x - y = 3/2
- x + y = 9/2
- x + y = 1
- x - y = 1
Correct answer: x - y = 3/2
Solution
Matching the tangent conditions gives m = 1 and c = -3/2, so the common tangent is y = x - 3/2, i.e. x - y = 3/2.
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