Find the equation of sphere which passes through `(1, 0, 0)` and has its centre on the positive direction of Y-axis and has radius 2.

Find the equation of the circle which passes through the points (7, 0) , (0, sqrt(7)) and has its centre on the x-axis.

Find the equation of the circle which passes through the points (7, 0) , (0, sqrt(7)) and has its centre on the x-axis.

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

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

Find the equation of the circle which passes through (1,0) and (0,1) and has its radius as small as possible.

The radius of the circle, which is touched by the line y= x and has its centre on the positive direction of x-axis and also cuts-off a chord of length 2 units along the line sqrt 3y -x=0 is:

The equation of the circle which is touched by y=x, has its centre on the positive direction of the x-axis and cuts off a chord of length 2 unit along the line sqrt3y-x=0

The equation of the circle which is touched by y=x has its centre on the positive direction of the x -axis and cuts off a chord of length 2 units along the line sqrt(3) y-x=0 is

Find the equation of the circle which passes through (1, 0) and (0, 1) and has its radius as small as possible.