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=(9r2,0) on the x-axis.

 

(a) The line through A and C has equation: y= ? x + ?
(b) The x-coordinate of the point B is ?.
(c) The y-coordinate of the point B is ?.
(d) The limit as  of the x-coordinate of B is (if your answer is , write infinity) ?
(e) The limit as  of the y-coordinate of B is (if your answer is , write infinity) ?
Please show all work because I would like to understand it. Thanks!

Transcribed Image Text:

A=(0,2r) C (0,0) A=(0,2r) C (0,0)