Two circles touch each other at point X. Two common tangents

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SSC CGL Tier-2 19-February-2018 Maths
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Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

[SSC CGL Tier-2 19-February-2018 Maths]

A 3.5

B 3.75

C 4.25

D 4.45