If centre of a circle lies on the line `2x - 6y + 9 =0` and it cuts the circle `x^(2) + y^(2) = 2` orthogonally then the circle passes through two fixed points

The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts the circle x^2+y^2=4 orthogonally . Show that S=0 passes through two fixed points and find their coordinates.

The centre of variable circle x^(2)+y^(2)+2gx+2fy+c=0 lies on the line 2x-2y+9=0 and the variable circle cuts the circle x^(2)+y^(2)=4 orthogonally.If the variable circle passes through two fixed points (a,b) and (c,d) where (b

The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S = 0 cuts orthogonally the circle x^2 + y^2 = 4 . Show that S = 0 passes through two fixed points and also find the co-ordinates of these two points.

If a circle passes through the point (a,b) and cuts the circles x^(2) + y^(2) =4 orthogonally then the locus of its centre is

The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts orthogonally x^2 + y^2=4 . Show that circle S=0 passes through two fixed points & find their coordinates.

The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts orthogonally x^2 + y^2=4 . Show that circle S=0 passes through two fixed points & find their coordinates.

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre is