Q. 2 B5.0( 2 Votes )

Solve any four su

Answer :

The diagram is as follows:


Given,


Ray PA ia tangent and PBC is a secant.


AP = 15 cm


BP = 10 cm


We Know that by Tangent Secant Theorem,


According to tangent-secant theorem:


“When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment.”


Mathematically,


(Tangent)2 = (Whole Secant) × (External Secant)


PA2 = PB × PC ……………. (By Tangent Secant Property)


152 = 10 × PC


PC × 10 = 225


PC = 22.5cm


Now we have calculated the total length of secant PC.


So PB + BC = PC


10 + BC = 22.5


BC = 12.5 cm


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