Find the equation of a circle passing thorugh (7,3) having radius 3 units and whose centre lies on the line `y = x-1`.

Find the equation ofthe circle passing through the points (2,3) and (-1,1) and whose centre is on the line x-3y- 11 =0 .

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .

Find the equation of the circle which passes through points (2,-2) and (3,4) and whose centre lies on the line x + y = 2.

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3.

Find the equation of the circle whose centre is (-3, 2) and radius 4.

Find the differntial equation of all circles which pass through the origin and whose centres lie on x-axis.

Find the equations of a circle having radius 5 units and the centre as the point of intersection of the straight lines 2x-y-5=0 and 3x+2y=4.

Find the equation of the circle, which passes through the points (2, - 3) and (3, - 2) and has its centre on the line 2x-3y = 8.