Question: Show that if it is possible to draw three normals from the point (a, 0) to the parabola x = y 2 shown in the

Show that if it is possible to draw three normals from the point (a, 0) to the parabola x = y² shown in the accompanying diagram, then a must be greater than 1/2. One of the normals is the x-axis. For what value of a are the other two normals perpendicular? 0 (a,0) x = y X

0 (a,0) x = y X

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We are given a parabola x y2 and we need to show that if three normals can be drawn from the point a 0 to this parabola then a must be greater than 12 ... View full answer

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