Question

Find the equation to a circle with centre (2, 1) and
touching x axis.​

Answer 1

General form of equation is (x-h)² + (x-k)² = r²

where (h,k) = center = (2,1)

Radius = Distance from center to end.

Its center is at y=1 and it touches x axis.

So radius = 1

So the equation is

(x-2)² + (y-1)² = 1²