My question is:
I have a circle of radius 40 and a line which the circle is tangent to. So, if I take a circle of radius 80, do the two circles have the same point of contact? I mean: do they (my circle with radius 40 with my circle with radius 80 ) have the same point of contact?? Thanks beforehand.
Kind regards, Maryam
Call P the point where the line and the circle of radius 40 are tangent. Your circle of radius 80 is tangent to your circle of radius 40 at P if and only if the center of the first is the diametrically opposite point of P in the circle of radius 40.