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In the figure above, O is the center of the circle, with radius 10 units and PA is a tangent, whose length is equal to 24 units. If the lengths of PB and PC are distinct positive integers, and PB < PC, then find the sum of all possible lengths of PB?
A. 16
B. 18
C. 34
D. 58
E. 126
OA C
Source: e-GMAT
