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**1. Homework Statement**

Show that the centers of the circles passing through the points (3,2) and (6,3) are located on the line 3x+y=16.

Two of these circles touch the line x+2y=2. Find the equation of both these

**circles.**

2. Homework Equations

2. Homework Equations

The general equation of curves (circles, parabola, ellipse, hyperbola)

**3. The Attempt at a Solution**

The proving section is fine to me, I merely need to find the perpendicular bisector.

I approached the question by trying to search for the centers of the circles. I expected myself to come to a linear equation and a quadratic equation (since there is two circles) One equation is clear : 3x+y=16

But I can't find the other one. Should I deal with the gradients? Or the radius of the circles?