The locus of the centre of the circle passing through `(1,1)` and cutting `x^2 + y^2 = 4` orthogonally is : (A) `x+y=3` (B) `x+2y=3` (C) `2x+y=3` (D) `2x-y=3`

The locus of the centre of all circles passing through (2, 4) and cutting x^2 + y^2 = 1 orthogonally is : (A) 4x+8y = 11 (B) 4x+8y=21 (C) 8x+4y=21 (D) 4x-8y=21

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

The locus of the centres of circles passing through the origin and intersecting the fixed circle x^(2)+y^(2)-5x+3y-1=0 orthogonally is

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

Centre of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2 is

The circle through (-2,5),(0,0) and intersecting the circle x^(2)+y^(2)-4x+3y-1=0 orthogonally is

Find the locus of the centres of the circle which cut the circles x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)+4x+6y+4=0 orthogonally