The coordinates of the centre of the smallest circle passing through the origin and having `y = x +1` as a diameter

The co-ordinates of the centre of the smallest circle passing through the origin and having y = x +1 as a diameter are :

The co ordinates of the cenre of the smallest circle passing through the origin and having y=x+1 as a diameter are

The x -coordinates of the centre of the smallest circle which passing through two points (2,4) and (4,9) is

Find the equation of the circle passing through the origin and having the centre at (-4,3)

Prove that the centre of the smallest circle passing through origin and whose centre lies on y = x + 1 is (-(1)/(2), (1)/(2))

The locus of the centre of the circle passing through the origin O and the points of intersection A and B of any line through (a, b) and the coordinate axes is

The locus of the centre of the circle passing through the origin O and the points of intersection A and B of any line through (a, b) and the coordinate axes is

The differential equation of all circles passing through the origin and having their centres on the x-axis is