circle

Question: The locus of the centres of the circles which touch externally the circles ${{x}^{2}}+{{y}^{2}}={{a}^{2}}$ and ${{x}^{2}}+{{y}^{2}}=4ax$ , will be

1) $12{{x}^{2}}-4{{y}^{2}}-24ax+9{{a}^{2}}=0$

2) $12{{x}^{2}}+4{{y}^{2}}-24ax+9{{a}^{2}}=0$

3) $12{{x}^{2}}-4{{y}^{2}}+24ax+9{{a}^{2}}=0$

4) $12{{x}^{2}}+4{{y}^{2}}+24ax+9{{a}^{2}}=0$

Solution:

Explanation: No Explanation

System of circles

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