If the circle `x^2+y^2+2a_1x+c=0` lies completely inside the circle `x^2+y^2+2a_2x+c=0` then

Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the circle x^(2)+y^(2)-x-30=0

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 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 +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+2gx+2fy+c=0 bisects the circumference of the circle x^2+y^2+2g'x +2f'y+c'=0 , then :

If the circle x^(2) + y^(2) = 9 touches the circle x^(2) + y^(2) + 6y + c = 0 internally, then c is equal to

A circle passes through point (3, sqrt(7/2)) and touches the line-pair x^2 - y^2 - 2x +1 = 0 . Centre of circle lies inside the circle x^2 + y^2 - 8x + 10y + 15 = 0 . Coordinates of centre of circle are given by

A circle passes through point (3, sqrt(7/2)) and touches the line-pair x^2 - y^2 - 2x +1 = 0 . Centre of circle lies inside the circle x^2 + y^2 - 8x + 10y + 15 = 0 . Coordinates of centre of circle are given by

If the circle x^2+y^2+8x-4y+c=0 touches the circle x^2+y^2+2x+4y-11=0 externally and cuts the circle x^2+y^2-6x+8y+k=0 orthogonally then k =