SOLUTION: Find the equation of the circle which is tangent to the x-axis at (2,0) and touches the line y=6.

Question 1040187: Find the equation of the circle which is tangent to the x-axis at (2,0) and touches the line y=6.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Find the equation of the circle which is tangent to the x-axis at (2,0) and touches the line y=6.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Notice that y= 0 and y = 6 are two parallel tangent lines.
So the diameter of the circle is 6 and the radius is 3.

The center of the circle is on the vertical line x = 2.

Hence, the center is at the point (2,3).

So the equation of the circle is 

 = ,   or

 = .

Solved.

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