(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 thesecircles.

2. Relevant 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?

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# Show that the centers of the circles passing through the points

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