Find the equation of the circle whose centre is `(2, -3)` and which pass through the point of intersection of `3x+2y=11 and 2x+3y=4`.

Find the equation of the circle of radius 5 whose centre lies on y-axis and which passes through the point (3, 2).

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

Find the equation of the curve whose gradient at (x,y) is y/(2x) and which passes through the point (a,2a) .

Find the equation of circle whose centre is the point (1,- 3) and touches the line 2x-y-4=0

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

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 a circle of radius 5 whose centre lies on x-axis and passes through the point (2,3).

Find the equation of the circle having (1,-2) as its centre and passing through the intersection of the lines 3x+y=14 and 2x+5y=18.

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