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 =`

Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

(i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

The circumference of the circle x^(2)+y^(2)-2x+8y-q=0 is bisected by the circle x^(2)+y^(2)+4x+12y+p=0, then p+q is equal to

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 =

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

The y-intercept of the circle x^(2)+y^(2)+4x+8y-5=0 is

Equation of the circle concentric with the circle x^(2) + y^(2) + 8x + 10 y - 7 = 0 , and passing through the centre of the circle x^(2) + y^(2) - 4x - 6y = 0 ,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 value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 will bisect the circumference of the circle x ^(2) + y ^(2) + 6x - 4y + k =0 is