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Two circles C1 and C2 intersect in such ...

Two circles `C_1` and `C_2` intersect in such a way that their common chord is of maximum length. The center of `C_1` is (1, 2) and its radius is 3 units. The radius of `C_2` is 5 units. If the slope of the common chord is `3/4,` then find the center of `C_2dot`

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