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\A bigger circle (with center \(A\)) and a smaller circle (with center \(B\)) are touching each other externally. \(PT\)

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\A bigger circle (with center \(A\)) and a smaller circle (with center \(B\)) are touching each other externally. \(PT\)

by Vincen » Mon May 03, 2021 10:43 am

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A bigger circle (with center \(A\)) and a smaller circle (with center \(B\)) are touching each other externally. \(PT\) and \(PS\) are the tangents drawn to these circles from an external point (as shown in the figure). What is the length of \(ST?\)

(1) The radii of the bigger and the smaller circles are \(9\, \text{cm}\) and \(4 \, \text{cm}\) respectively.
(2) \(PB = \dfrac{52}5 \, \text{cm.}\)

Answer: A

Source: e-GMAT
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