Solve any four sub-questions:
In the given figure, a tangent segment PA touching a circle in A and secant PBC are shown, If AP = 15 cm BP = 10 cm, find the length of PC.

Given: AP = 15 cm
BP = 10 cm
To find: PC
Using the tangent secant theorem
PA2 = PC × PB
∴ 152 = PC × 10
∴ 225 = PC × 10
∴ PC = 225/10
∴ PC = 22.5 cm
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