circle

Question: A circle passes through (0, 0) and (1, 0) and touches the circle ${{x}^{2}}+{{y}^{2}}=9$ , then the centre of circle is



1) $\left( \frac{3}{2},\frac{1}{2} \right)$
2) $\left( \frac{1}{2},\frac{3}{2} \right)$
3) $\left( \frac{1}{2},\frac{1}{2} \right)$
4) $\left( \frac{1}{2},\ \pm \sqrt{2} \right)$
Solution: Explanation: No Explanation
System of circles

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