If the circles `x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0` touch each other, then `1/(a^2)+1/(b^2)=...

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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 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 circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each Prove that the circles `x^(2)+y^(2)+2ax+c^(2)=0andx^(2)+y^(2)+2by+c^(2)=0` touch each
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
The condition that the circles `x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0` |Class 12 MATH | Doubtnut The condition that the circles `x^(2)+y^(2)+2ax+c=0, x^(2)+y^(2)+2by+c=0` |Class 12 MATH | Doubtnut
The two circles x^2+y^2=ax and x^2+y^2=c^2 (c gtr 0) touch each other if The two circles x^2+y^2=ax and x^2+y^2=c^2 (c gtr 0) touch each other if
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 + b = 0` and `x^2+ y^2+ 2cx + b = 0` touch each other `(a!=c)
show that the circles x^2+y^2-6x-2y+1=0 and x^2+y^2+2x-8y+13=0 touch each other find the point of show that the circles x^2+y^2-6x-2y+1=0 and x^2+y^2+2x-8y+13=0 touch each other find the point of