The tangent lines of two circles intersect at point (11/3,2/3). What are the two points that each tangent line touches on its respective circle?
Circle 1: x^2 + (y-3)^2 =5
Circle 2: (x-2)^2 + (y+3)^2 = 2
The Attempt at a Solution
I found the derivatives of each circle.
Circle 1: y'(x) = -(x)/(y-3)
Circle 2: y'(x) = (2-x)/(y+5)
Do I have to use the slope-intercept equation somehow? y-yo=m(x-xo)
I'm not quite sure what do to next... :S