Find the external centre of similitude for
the circles `x^(2) + y^(2) - 2x - 6y + 9 =0`
and `x^(2) + y^(2) = 4`

Find the internal centre of similitude for the circles x^(2) + y^(2) + 6x - 2y + 1 =0 and x^(2) + y^(2) - 2x - 6y + 9 = 0 .

Find the internal centre of similitude for the circles x ^(2) + y ^(2) + 6x -2y + 1=0 and x^(2) + y ^(2) - 6y + 9=0

The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y+9=0, x^(2)+y^(2)=4 is

The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y+9=0, x^(2)+y^(2)=4 is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 4x + 6y + 4 = 0 orthogonally is

The locus of the centre of the circle which cuts the circles x^(2) + y^(2) + 4x - 6y + 9 = 0 " and " x^(2) + y^(2) - 5x + 4y + 2 = 0 orthogonally is

The internal centre of similitude of the two circles x^(2)+y^(2)+6x-2y+1=0 , x^(2)+y^(2)-2x-6y+9=0 is

The external centre of similitude of the circle x^(2)+y^(2)-12x+8y+48=0 and x^(2)+y^(2)-4x+2y-4=0 divides the segment joining centres in the ratio.