posted by Marlen .
In polar coordinates, the parametric equations x=5+cos(t) and y=sin(t) represent a circle1. In Cartesian coordinates, there is a circle2 that is externally tangent to circle1, tangent to the y-axis, and centered at (12,sqrt b). What is the value of b?
Almost this exact problem is done in one of the related questions below.
Consider the distance between the two centers.