Problem A parabola has an equation of y2 = 8x. Find the equation of the diameter of the parabola, which bisect chords parallel to the line x – y = 4.
Answer Key
Solution
Slope of chords: $y' = m$
$y' = 1$
From the parabola: $y^2 = 8x$
$2y \, y' = 8$
$2y(1) = 8$
$y = 4$ ← Answer: [ C ]
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