Question 1039233: Find the equation of the circle which touches the X axis at the point (3,0) and cuts off an intercept 8 units from the positive part of the y axis
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! Find the equation of the circle which touches the X axis at the point (3,0) and cuts off an intercept 8 units from the positive part of the y axis
The standard equation of any circle is
Since it is tangent to the x-axis at (3,0),
the center is directly above (3,0), so its
center also has x-coordinate 3. So h=3
It passes through (x,y) = (3,0), so
k and r are both positive numbers.
 and
It has a y-intercept at (0,8)
And since  ,
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