Parametrically Defined Circles and Lines Practice Test

A sensor sweeps the circle $x=-2+6\cos t,\ y=1+6\sin t$, and a signal line follows $x=4+r,\ y=1+2r$. Find the point(s) where the line intersects the circle defined by the given parametric equations.

A skier traces the circle $x=1+4\cos t,\ y=2+4\sin t$, and a tow cable follows $x=5+u,\ y=6-u$. Find the point(s) where the line intersects the circle defined by the given parametric equations.