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 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 line passing through the point (-1,1) and (2,4).

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 circle passing through the points : (1, 2) (3,- 4) and (5, - 6).

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.

Find the equation of the circle which passes through the points (3,4),(3,-6) and (1,2).

find the equation circle which is passes through the points (4,1),(6,5) and centre lies on 4x+y=16 is

Find the equation of the circle passing through the point (2,4) and has its centre at the intersection of x-y =4. and 2x +3y=-7.

Find the equation of the lines passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0.