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Let PQ be a focal chord of the parabola y2 = 4px. Let M be the...

Let PQ be a focal chord of the parabola y2 = 4px. Let M be the midpoint of PQ. A perpendicular is drawn from M to the x-axis, meeting the x-axis at S. Also from M, a line segment is drawn that is perpendicular to PQ and that meets the x-axis at T. Show that the length of ST is one-half the focal width of the parabola.

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