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 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.

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

A variable circle cuts each of the circles x^(2)+y^(2)-2x=0&x^(2)+y^(2)-4y-5=0 orthogonally.The variablecircle passes through two fixed points whose co-ordinates are

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

Circle x^(2)+y^(2)-2x-lambda x-1=0 passes through to fixed points,coordinates of the points are

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

A family of circles passing through the points (3, 7) and (6, 5) cut the circle x^2 + y^2 - 4x-6y-3=0 . Show that the lines joining the intersection points pass through a fixed point and find the coordinates of the point.

The centre of the circle that cuts the circle x^(2)+y^(2)+2gx+2fy+c=0 and lines x=g and y=f orthogonally is