(A) 12 cm
(B) 13 cm
(C) 8.5 cm
(D) √119 cm
Answer:
In the figure above, the line drawn from the given circle’s centre to the tangent PQ is perpendicular to PQ.
As a result, OP ⊥ PQ
In triangle ΔOPQ, using Pythagoras theorem we get,
OQ2 = OP2+PQ2
(12)2 = 52+PQ2
PQ2 = 144-25
PQ2 = 119
PQ = √119 cm
As a result, option D is the correct answer i.e. length of PQ is √119 cm.