SOLUTION: The line x-2y+8=0 is tangent to a circle at (0,4). The line y=2x-5 is tangent to the same circle at (3,1). Find the center of the circle.

Algebra ->  Circles -> SOLUTION: The line x-2y+8=0 is tangent to a circle at (0,4). The line y=2x-5 is tangent to the same circle at (3,1). Find the center of the circle.      Log On


   



Question 1108947: The line x-2y+8=0 is tangent to a circle at (0,4). The line y=2x-5 is tangent to the same circle at (3,1). Find the center of the circle.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The line x-2y+8=0 is tangent to a circle at (0,4). The line y=2x-5 is tangent to the same circle at (3,1). Find the center of the circle.
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Find the 2 lines perpendicular to the given lines thru the given points.
The center is the intersection of the 2 perpendicular lines.