Posted by Lance on Monday, January 21, 2013 at 4:40am.
What are the equations of the circles tangent to the xaxis, of radius 4 and whose center is at (2,y)
Please help, how do I solve this problem?

Analytic Geometry  Reiny, Monday, January 21, 2013 at 10:37am
Since (2,0) must be on the circle , (it is tangent to that point)
y must be either 4 or 4
first case: y = 4
centre is (2,4) radius is 4
equation: (x+2)^2 + (y4)^2 = 16
you try the other circle with centre (2,4)
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