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Let the point B be the reflection of the point A(2, 3) with respect to line 8x - 6y-23= 0. Let A and I

Let the point B be the reflection of the point A(2, 3) with respect to line 8x - 6y-23= 0. Let A and I be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the circles I and TB such that both the circles are on the same side of T. If C is the point of intersection of T and the line passing through A and B, then the length of the line segment AC is

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