Math CentralQuandaries & Queries


Please help me to solve this problem. Thank you very much.
Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10.

Hi Jason.

The equations you provided are two lines that intersect. Therefore
you can put a circle of any given radius in four different positions,
giving four different circle equations.


Stephen La Rocque.>


We don't see a straightforward way to do this. Are you sure there isn't a typo in the problem? If the second equation were x - 3y + 10 = 0 then the two lines would be perpendicular.


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