A circle touches the line `y=x` at point `(4,4)` on it. The length of the chord on the line `x+y=0` is `6sqrt2`. Then one of the possible equation of the circle is

A circle touches the line y = x at point P such that OP = 4 sqrt2 , Circle contains (-10,2) in its interior & length of its chord on the line x+y=0 is 6sqrt2 . Determine the equation of the circle

A circle touches the line y=x at point P such that OP=4sqrt(2) ,circle contains (-10,2) in its interior & length of its chord on the line x+y=0 is 6sqrt(2). Determine the equation of the circle

A circle c touches the line y = x at a point P whose distance from the origin is 4sqrt(2). The point (-10, 2) lies inside c. The length of the chord cut off by c, on the line x+y=0 is 6sqrt(2). Find the equation of c.

A circle C touches the line y = x at a point P whose distance from the origin is 4 sqrt2. The point (-10,2) lies inside C. The length of the chord cut off by c, on the line x+y = 0, is 6 sqrt2. Find the equation of C.

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

A circle touches the y -axis at the point (0,4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.

A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.

A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.