SOLUTION: {{{ 2x-3y=0 }}} is a tangent to the circle c at the point (0,0). If the radius of c is equal to {{{ sqrt(13) }}} find the two equations that satisfy these conditions

Question 964296: is a tangent to the circle c at the point (0,0). If the radius of c is equal to find the two equations that satisfy these conditions
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
is a tangent to the circle c at the point (0,0). If the radius of c is equal to find the two equations that satisfy these conditions
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2 circles fit the conditions.
Their centers are on a line perpendicular to the tangent line.
Find the equation of that line, then find the 2 points on it sqrt(13) from (0,0).
Those 2 points are the centers of the 2 circles.

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