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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

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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

by Gmat_mission » Sun Jun 21, 2020 2:27 pm

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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

[spoiler]OA=C[/spoiler]

Source: e-GMAT
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