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Normals to a parabola Show that if it is possible to draw
Chapter 3, Problem 49E(choose chapter or problem)
Normals to a parabola 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?
Questions & Answers
QUESTION:
Normals to a parabola 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?
ANSWER:Solution :Step 1 of 6 :In this problem, we have to prove that if curve have three normals from the point (), then a must be greater than ½ .