2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the parabola y=x2 at x=a and x-b, respectively, where a#0. 1. For what values of a and b are la and lb perpendicular to one another? 2. Make a sketch to illustrate one case of your answer, for a=2. b. The tangent line to the parabola x2=4y at the point P(a, b) meets the line y=-1 at the point A. Suppose B is the point (0,1). 1. Find the x-coordinate of the point A in terms of a. 2. Show that for all a+0, ABP is a right angle.
2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the parabola y=x2 at x=a and x-b, respectively, where a#0. 1. For what values of a and b are la and lb perpendicular to one another? 2. Make a sketch to illustrate one case of your answer, for a=2. b. The tangent line to the parabola x2=4y at the point P(a, b) meets the line y=-1 at the point A. Suppose B is the point (0,1). 1. Find the x-coordinate of the point A in terms of a. 2. Show that for all a+0, ABP is a right angle.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 74E
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