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` equals

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

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

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

If the circumference of the circle x^2+y^2+8x+8y-b=0 is bisected by the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is 5x^2+5y^2+18 x+6y-5=0 5x^2+5y^2+9x+8y-15=0 5x^2+5y^2+4x+9y-5=0 5x^2+5y^2-4x-2y-18=0

Column I|Column II The length of the common chord of two circles of radii 3 units and 4 units which intersect orthogonally is k/5 . Then k is equal to|p. 1 The circumference of the circle x^2+y^2+4x+12 y+p=0 is bisected by the circle x^2+y^2-2x+8y-q=0. Then p+q is equal to|q. 24 The number of distinct chords of the circle 2x(x-sqrt(2))+y(2y-1)=0 , where the chords are passing through the point (sqrt(2),1/2) and are bisected on the x-axis, is|r. 32 One of the diameters of the circle circumscribing the rectangle A B C D is 4y=x+7. If Aa n dB are the poinst (-3,4) and (5, 4), respectively, then the area of the rectangle is|s. 36

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

Find the equation of the circle which passes through the centre of the circle x^(2)+y^(2)+8x+10y-7=0 and is concentric with the circle 2x^(2)+2y^(2)-8x-12y-9=0

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 ____

Find the equation of a circle which passes the centre of the circle x^(2)+y^(2)-6x =1 and concentric with the circle 2x^(2)+2y^(2)-8x +12y -1=0 .

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