If the circles, `x^2 +y^2 + 2ax + 2by + c =0 and x^2 +y^2 + 2bx + 2ay + c = 0` where `c lt 0

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If one of the circles `x^2+y^2+2ax+c=0` and `x^2+y^2+2bx+c=0` lies within the other, then If one of the circles `x^2+y^2+2ax+c=0` and `x^2+y^2+2bx+c=0` lies within the other, then
Prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0 Prove that the following pairs of circles are orthogonal: x^2+y^2-2ax+2by+c=0 & x^2+y^2+2bx+2ay-c=0
If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within the other, then | 12 | CIR... If one of the circles x^2+y^2+2ax+c=0 and x^2+y^2+2bx+c=0 lies within the other, then | 12 | CIR...
The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0 may touch each other is ... The condition that the circles x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0 may touch each other is ...
Prove that the circle `x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0` Prove that the circle `x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0`
If the circles \[ x^{2}+y^{2}+2 a x+2 b y+c=0 \] and \( x^{2}+y^{2}+2 b x+2 a y+c=0 \) where \( ... If the circles \[ x^{2}+y^{2}+2 a x+2 b y+c=0 \] and \( x^{2}+y^{2}+2 b x+2 a y+c=0 \) where \( ...
Prove that the two circles x^2+y^2+2ax+c^2=0 and x^2+y^2+2by +c^2=0 touch if 1/a^2+1/b^2=1/c^2 Prove that the two circles x^2+y^2+2ax+c^2=0 and x^2+y^2+2by +c^2=0 touch 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) = 0touch e... Prove that the circle x^(2) + y^(2) + 2ax + c^(2) = 0 and x^(2) + y^(2) + 2by + c^(2) = 0touch e...