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For how many values of c is the line y = 4x + c a tangent to the ellipse x²/4 + y² = 1?
- 2
- 0
- 1
- infinitely many
Correct answer: 2
Solution
The condition c² = 4*16 + 1 = 65 gives c = +/-sqrt(65), so there are exactly two values.
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