Q. 74.2( 20 Votes )

In Fig. 1,

Answer :

Since, AP and AR are tangents to the circle from the same point, by the property of circles they are equal. That is AP = AR.

AP = 4 cm [given]


Then AR = 4 cm [, AP = AR]


Also, RC = AC – AR


RC = 11 – 4 = 7 cm [, AC = 11 cm and AR = 4cm]


Now, we have PB = 3 cm (given) and RC = 7 cm.


Also, PB = BQ = 3 cm and RC = CQ = 7 cm [, PB and BQ are tangents PB = BQ and RC and CQ are tangents RC = CQ]


BC = BQ + CQ


BC = 3 + 7 = 10 cm


Hence, the length of BC is 10 cm.

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