amaths

1.The line x+2y-3=0 and the circle x^2+y^2-2x=0 intersect at two points A and B
(a)Find the equation of the family of circles passing through A and B
(b)Find the equation of the circle with its centre on the y-axis which passes through A and B

2.The line y-2x=0 and the circle x^2+y^2-2x=0 intersect at P and Q
(a)Find the equation of the family of circles passing through P and Q
(b)Hence,find the equation(s) of the circle with radius √10 which passes through P and Q