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 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.

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 touches the line y=x at point (4,4) on it.The length of the chord on the line x+y=0 is 6sqrt(2) .Then one of the possible equation of the circle is

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

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.

The line 5x-y=3 is a tangent to a circle at the point (2,7) and its centre is on theline x+2y=19. Find the equation of the circle.

A circle with centre at (2,4) is such that the line x+y+2=0 cuts a chord of length 6. The radius of the circle is

A circle touches both the x-axis and the line 4x-3y+4=0 . Its centre is in the third quadrant and lies on the line x-y-1=0 . Find the equation of the circle.

The equations of two diameters of a circle are x-2y+1=0 and x+y-2=0 and the length of the chord intercepted on the straight line 3x+4y+8=0 by the circle is 6 units. Find the equation of the circle.