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A variable chord PQ of the parabola y² = 4x is drawn parallel to the line y = x. If P and Q correspond to parameters p and q on the parabola, find p + q.
- 2
- -2
- 0
- 1
Correct answer: 2
Solution
The slope of the chord is 2/(p + q); for it to be parallel to y = x (slope 1), p + q = 2.
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