circle

Question: If circles ${{x}^{2}}+{{y}^{2}}+2ax+c=0$ and ${{x}^{2}}+{{y}^{2}}+2by+c=0$ touch each other, then

1) $\frac{1}{a}+\frac{1}{b}=\frac{1}{c}$

2) $\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}}$

3) $\frac{1}{a}+\frac{1}{b}={{c}^{2}}$

4) $\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{c}$

Solution:

Explanation: No Explanation

System of circles

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