SOLUTION: find an equation of the circle passing through A(5,1) and tangent to the line 2x-y-10=0 at B(3,-4)

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Question 1086681: find an equation of the circle passing through A(5,1) and tangent to the line
2x-y-10=0 at B(3,-4)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find an equation of the circle passing through A(5,1) and tangent to the line
2x-y-10=0 at B(3,-4)
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Find the perpendicular bisector of AB. The center of the circle is on that line.
Find the line perpendicular to the given line thru (3,-4).
The intersection of those 2 lines is the center.
The radius is the distance from the center to A or B.
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