Mathematics

Mathematics

Problem

If a circle C passing through (4,0)(4, 0) touches the circle x2+y2+4x−6y−12=0x^2 + y^2 + 4x - 6y - 12 = 0 externally at a point (1,−1)(1, -1), then the radius of the circle C is : (1) 57\sqrt{57} (2) 252\sqrt{5} (3) 4 (4) 5

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