A circle touches the y-axis at the point (0, 3) and one of its intercepts on the x-axis is 9. What is the equation of the circle?
The centre of a circle lies on the x-axis and its radius is 5 units. Given that the circle passes through the point P(3, 3), find the possible equations of the circle.
A circle passes through the points (2, 3) and (-1, 6). Its centre lies on the line 2x + 5y = -1. Find
(i) the coordinates of the centre of the circle,
(ii) the radius of the circle,
(iii) the equation of the circle.