Posted by nyl on Sunday, April 22, 2012 at 7:26am.
If a circle is tangent to both axes, then its centre lies along the line
y=x (for circle in first or third quadrant) or
y=-x (for circle in second or fourth quadrant).
Make your choice of quadrant(s) and solve the system of equations
3x+y=6
y=x
or
3x+y=6
y=-x
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