- #1
Harmony
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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
The general equation of curves (circles, parabola, ellipse, hyperbola)
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?