Q. 175.0( 2 Votes )

# In the figure, PA and PB are tangents to the circle drawn from an external point P. Also CD is a tangent to the circle at Q. If PA = 8 cm and CQ = 3 cm, then PC is equal to

A. 11 cm

B. 5 cm

C. 24 cm

D. 38 cm

Answer :

Given: PA = 8 cm and CQ = 3 cm

We know that the lengths of the two tangents from an exterior point to a circle

are equal.

DA = DQ, PA = PB and CQ = BC

PB = 8 cm BC = 3 cm

PC = PB – BC = 8 – 3 = 5 cm

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