+495 I have two circles.
( x - (1-b) )² + y² = b²
( x - cos(120°) * (1-b) )² + ( y - sin(120°) * (1-b) )² = b²
My question is: for what value of "b" causes these two circles meet at exactly one point?
I tried this with some geometry and I THINK the answer is b = 2sqrt(3) - 3 or ≈ 0.46410165...
I think this can be solved with calculus but I don't know how to begin. Any help would be appreciated.
(note: it may take me a while to reply back to this thread, but I will eventually reply, I promise!)
(another note: there is a third circle in this problem, just replace 120° with 240°, but the answer I need will be the same as the answer from the problem above, so don't worry about it)
