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[" 15.The circles "x^(2)+y^(2)+2ax+c=0" ...

[" 15.The circles "x^(2)+y^(2)+2ax+c=0" and "],[x^(2)+y^(2)+2by+c=0" touch each other if "],[[" (1) "(1)/(a^(2))+(1)/(b^(2))=(1)/(c)," (2) "(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))],[" (3) "(1)/(a)+(1)/(b=)," (4) "a^(2)-(1)/(b^(2))=(1)/(c^(2))]]

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Show that the circles x^(2) +y^(2) + 2ax + c=0 and x ^(2) + y^(2) + 2by + c=0 to touch each other if (1)/(a^(2)) + (1)/( b^(2)) = (1)/( c )

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

If the circles x^(2)+y^(2)+2ax+b=0 and x^(2)+y^(2)+2cx+b=0 touch each other (a!=c)

If the circles x^(2)+y^(2)+2ax+c=0 and x^(2)+y^(2)+2by+c=0 touch each other,then (1)/(a^(2))+(1)/(b^(2))=(1)/(c)(b)(1)/(a^(2))+(1)/(b^(2))=(1)/(c^(2))(c)a+b=2c(d)(1)/(a)+(1)/(b)=(2)/(c)

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

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)) .

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)) .

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)) .