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`

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 .

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^2-6x-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+22y + c = 0 bisects the circumference of the circle x^2 + y^2-2x + 8y-d = 0 ,then (c+d) is equal to

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

Find the equation of polar of the point (i) (3,-1) with resect to the cirlce 2x^(2)+2y^(2)=11 (ii) (2,3) with respect to the circle x^(2)+y^(2)+6x+8y-96=0 (iii) (4,3) with respect to the circle x^(2)+y^(2)-8x-6y-9=0 (iv) (1,2) with respect to the cirlce x^(2)+y^(2)=7 (v) (1,-2) with respect to the circle x^(2)+y^(2)-10x-10y+25=0

The parametric equation of the circle x^(2)+y^(2)+8x-6y=0 are

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

Find the centre and radius of the circle 3x^(2) +3y^(2) - 6x +9y - 8 =0 .