Answer:
(x-9)²+(y-1)²=1
Explanation:
Standard equation of a circle with center at (h, k) and radius r
(x-h)²+(y-k)²=r²
(x-9)²+(y-1)²=r², for the center of the circle at (9,1)
(x-9)²+(y-1)²=1², because the radius must be 1 since the circle needs to tangent to the x-axis
(x-9)²+(y-1)²=1