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## Homework Statement

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?

## Homework Equations

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