If Psa, a2 d is any point on the parabola y x 2 , except for the origin, let Q be the point where the normal line at P intersects the parabola again (see the figure). (a) Show that the y-coordinate of Q is smallest when a 1ys2 . (b) Show that the line segment PQ has the shortest possible length when a 1ys2 .

# If Psa, a2 d is any point on the parabola y x 2 , except

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## Solution for problem 11 Chapter 4

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If Psa, a2 d is any point on the parabola y x 2 , except