Question
The tangent line to the parabola y = 1 / 4 x 2 at the point P(a,b) intersects with the line y=-1 at point A.
The tangent line to the parabola y=1/4x2at the point P(a,b) intersects with the line y=-1 at point A.
a) Determine the coordinates of the point A, in terms of a.
b) Given that B is the point (0,1), show that for alla=0,ABP is a right angle.
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Maximum Principles And Geometric Applications
Authors: Luis J Alías, Paolo Mastrolia, Marco Rigoli
1st Edition
3319243373, 9783319243375
