The equation of the circle described on the common chord of the circleS `x^(2)+y^(2)+2 x=0` and `x^(2)+y^(2)+2 y=0` as diameter is

The equation of the circle described on the common chord of circles x^2+y^2-8x+y-15=0 and x^2+y^2-4x+4y-42=0 as diameters is :

The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1=0 and x^(2)+y^(2)+4 x+3 y+2=0 is

Length of the common chord of the circles : x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0 is :

The equation of the circle which passes through the points of intersection of the circleS x^(2)+y^(2)-6 x=0 and x^(2)+y^(2)-6 y=0 and has centre at ((3)/(2), \(3)/(2)) is

If 2 x-3 y=0 is the equation of the common chord of the circleS x^(2)+y^(2)+4 x=0 and x^(2)+y^(2)+2 lambda y=0 then lambda=

Which of the following is a point on the common chord of the circle x^(2)+y^(2)+2x-3y+6=0 and x^(2)+y^(2)+x-8y-13=0 ?

The number of common tangents to the circles x^(2)+y^(2)-y=0 and x^(2)+y^(2)+y=0 is

The number of common tangents to the circles x^(2)+y^(2)-x=0 and x^(2)+y^(2)+x=0 , is

The equation of the circle concentric with the circle x^(2)+y^(2)+4 x-2 y+3=0 and passing thro (-2,-3) is