If the circles `(x-a)^(2)+(y-b)^(2)=c^(2)` and `(x-b)^(2)+(y-a)^(2)=c^(2)` touch each other, then

If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) touch each other then the point of contact is

If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = b^(2) touch each other externally , then

The length of the common chord of the circles (x - a)^(2) + (y - b)^(2) =c^2" and " (x -b)^(2) + (y -a)^(2) = c^(2) = c^(2) is

If two circles x^(2)+y^(2)+c^(2)=2ax and x^(2)+y^(2)+c^(2)-2by=0 touch each other externally , then prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))

If two circles x^(2)+y^(2)+c^(2)=2ax and x^(2)+y^(2)+c^(2)-2by=0 touch each other externally , then prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))

If two circles x^(2)+y^(2)+c^(2)=2ax and x^(2)+y^(2)+c^(2)-2by=0 touch each other externally , then prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))

If the circles x^(2) + y^(2) = a^(2) and x^(2) + y^(2) - 6x - 8y + 9 = 0 touches each other externally, then a = …….

Prove that the circle x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0 touch each other if (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) .