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

C : x^(2) + y^(2) - 2x -2ay - 8 = 0 , a is a variable C represents a family of circles through two fixed points whose co-ordinates are

If a variable circle cuts two circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-2y-7=0 orthogonally than loucs of centre of variable circle is

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

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 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.

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)