Show that the circle `x^2+y^2+4x+4y-1=0` bisects the circumference of the circle `x^2+y^2+2x-3=0` .

Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of the circle x^2 + y^2 - 8x-6y+23=0

If the circle x^2 + y^2 + 6x -2y + k = 0 bisects the circumference of the circle x^2 + y^2 + 2x- 6y-15=0 , then

If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the circle x^2 + y^2-2x + 8y-d = 0 ,then (c+d) is equal to

If the circle x^2+y^2-6x-4y+9=0 bisects the circumference of the circle x^2+y^2-8x-6y+a=0 , then the value of a is ____

If the circle x^(2) + y^(2) + 4x + 2y + c = 0 bisects the cirucumference of the cirlce x^(2) + y^(2) -2x -8y -d = 0 then c + d =

The circumference of circle x^(2)+y^(2)-10y-36=0 is

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 :

Coordinates of the centre of the circle which bisects the circumferences of the circles x^2 + y^2 = 1; x^2 + y^2 + 2x - 3 = 0 and x^2 + y^2 + 2y-3 = 0 is

The difference between the radii of the largest and smallest circles which have their centres on the circumference of the circle x^2 + y^2 + 2x + 4y -4 = 0 and passes through point (a,b) lying outside the circle is :

If the circumference of the circle x^2 + y^2 + 8x + 8y - b = 0 is bisected by the circle x^2 + y^2 - 2x + 4y + a = 0 then a+b= (A) 50 (B) 56 (C) -56 (D) -34