Two circles intersect at two points. Which of the following statements is true?

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Accepted Answer

1. Two circles meet at two points when the center distance $d$ satisfies $|r_1 - r_2| < d < r_1 + r_2$.

2. The inner (crossing) tangents would pass between the circles and so cannot touch both without cutting them.

3. Only the two outer (direct) tangents touch both circles. So there are exactly **two** common tangents.

FINAL_ANSWER: a

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