Find the equation of a circle
which touches x-axis at a distance 5 from the origin and radius 6 units.
Let (h, k) be the centre of a circle with radius a.
Thus, its equation will be
Let the required equation of the circle be
It is given that the circle with radius 6 units touches the x-axis at a distance of 5 units from the origin.
∴ a = 6, h = 5
Hence, the required equation is