A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r), as pictured below. A line passes through the point A and the point C=(11/2,0) on the x-axis. In this problem, we will investigate the coordinates of the intersection point B between the circle and the line, as 1 → ∞ A=(0,2r) B (0,0) (a) The line through A and C has equation: y= 2 117 x+27 (b) The x-coordinate of the point B is 4472 121,2 +4 40 (c) The y-coordinate of the point B is +27 121 44 (d) The limit as r→ ∞ of the x-coordinate of B is 121 (if your answer is oo, write infinity).

A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r), as pictured below. A line passes through the point A and the point C=(11/2,0) on the x-axis. In this problem, we will investigate the coordinates of the intersection point B between the circle and the line, as 1 → ∞ A=(0,2r) B (0,0) (a) The line through A and C has equation: y= 2 117 x+27 (b) The x-coordinate of the point B is 4472 121,2 +4 40 (c) The y-coordinate of the point B is +27 121 44 (d) The limit as r→ ∞ of the x-coordinate of B is 121 (if your answer is oo, write infinity).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 30RE

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