Question

Find the equation of the circle with centre (2,3) and which touches the x-axis

Answer 1

(y-3)^2=4p(x-2)

Step-by-step explanation:

C(h,k)

The equation is (y-k)^2=4p(x-h)

Answer 2

(x-2)² + (y-3)² = 9

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

As touches x axis, coordinates: (2, 0)

radius: √(2-2)² + (3 -0)² = 3

Now find equation:

= (x-2)² + (y-3)² = 3²

= (x-2)² + (y-3)² = 9