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     EduGorilla 
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    C1 and C2 are the centres of two circles whose radii are r1 and r2 respectively. The two circles cut each other in two distinct point if

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    1. |C1C2| < |r- r1|
    2. |C1C2| > r2 + r1
    3. |r2 - r1| < |C1C2|  < r2 + r1
    4. | C1C2 |  >  r2  -  r1
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