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For what value of k is the line x + y = k a normal to the parabola y² = 12x?
- 9
- 3
- -9
- -3
Correct answer: 9
Solution
With a = 3 and slope m = -1, the normal's intercept k = -2am - am³ = -2(3)(-1) - 3(-1)³ = 6 + 3 = 9.
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