Consider the parabola x 2 = 4py and one of its focal chords. (a) Show that the

Question:

Consider the parabola x² = 4py and one of its focal chords.
(a) Show that the tangent lines to the parabola at the endpoints of the focal chord intersect at right angles.
(b) Show that the tangent lines to the parabola at the endpoints of the focal chord intersect on the directrix of the parabola.

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