There's a circle with the equation:

x^2 + y^2-6x + 2y -15 = 0

Another Circle has the Center (11,14) and radius 8. A Point Q lies on Circle 1 and a Point R lies on Circle 2. Find the shortest possible distance.

My solution was to find the distance between the 2 circles and from there I determined that they intersected. So from there I came to the conclusion that the shorest distance was 0 and this siuation occurs when Q=R.

Am I right?

Thanks.