Question

There are two circles: y^2+x^2=1 and y^2+(x-3)^2=4.
There is a line with a positive slope that is tangent to both circles. Determine the points at which this tangent touches each circle.

Answer 1

better we make graph the both circles... can u do it ?

Answer 2

Yeah, I was able to graph both circles & found the derivatives for both as well. I just don't know where to go from there.