Find the equation of the circle which touches x-axis and whose centre is (1, 2).
It is given that circle with centre (1,2) touches x axis
Radius of the circle is r = 2
So equation of the required circle is
(x-1)2+(y-2)2=(2)2
x2-2x+1+y2-4y+4=4
x2+y2-2x-4y+1=0