The locus of the centres of the circles passing through the intersection the circles `x^(2)+y^(2)=1` and `x^(2)+y^(2)-2x+y=0`, 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

The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+2x+2y , is

The centre of the circule passing through the points of intersection of the curves (2x+3y+4)(3x+2y-1)=0 and xy=0 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 equation of the circle which passes through the points of intersection of the circles x^(2)+y^(2)-6x=0 and x^(2)+y^(2)-6y=0 and has its centre at (3/2, 3/2), is

Find the equation of the circle passing through the intersection of the circles x^2 + y^2-4 = 0 and x^2+y^2-2x-4y+4=0 and touching the line x + 2y=0

The locus of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 4 & x^2 + y^2-2x + 6y + 1 =0 is :

The centre of the circle passing through the points (0,0), (1,0) and touching the circle x^2+y^2=9 is

The radius of the circle passing through the points of intersection of ellipse x^2/a^2+y^2/b^2=1 and x^2-y^2 = 0 is

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is