Question:

A circle of radius r centered at the point 0 r in the plane

Last updated: 1/11/2024

A circle of radius r centered at the point 0 r in the plane

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 3 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 roo A 0 2r Y 0 0 B a The line through A and C has equation b The x coordinate of the point B is c The y coordinate of the point B is d The limit as roo of the x coordinate of B is e The limit as roo of the y coordinate of B is if your answer is oo write infinity if your answer is oo write infinity