Question 1185888: find the equation of the circle that passes through the point (9 7) and is tangent to both x and y axis and the line 3x-4y=24 Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! find the equation of the circle that passes through the point (9 7) and is tangent to both x and y axis and the line 3x-4y=24
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Ignore the line 3x-4y=24.
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The point (9,7) and tangent to the axes defines the circle.
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Thru a point in Q1 and tangent to both axes --> the center is on the line y = x
With center at (h,k):
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The distance from (9,7) to the center = the distance from (x,0) to the center.
r = x
--->
Some lines seem to get lost.
There is no circle that meets all the constraints.
You can eliminate the point and find a circle tangent to the axes and the given line, but then it won't pass thru (9,7).
