Find the equation of the circle which has its centre on the line y = 2 and which passes through the points (2, 0) and (4,0).

Find the equation of the circle, whose centre lies on the line 2x- y- 3 = 0 and which passes through the points (3, - 2) and (-2, 0).

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12 y-1=0.

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12y-1=0 .

Find the equation of the circle whose centre is at the point (4,5) and which passes through the centre of the circle x^(2)+y^(2)-6x+4y-12=0

Find the equation of the circle with its centre at (3, 2) and which touches to the line x+2y-4=0.

Find the equation of the circle whose centre is the point (1,-2) and which passes through the centre of the circle x^2 + y^2 + 2y = 3 .

Find the equation of the circle whose centre is at the point (4,5) and which passes through the centre of the circle x^2+y^2-6x+4y-12=0.

Find the equation of the circle (i) whose centre is (a,b) which passes through the origin (ii) whose centre is the point (2,3) and which passes through the intersection of the lines 3x-2y-1=0 and 4x+y-27 =0

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).