Question

C
81. From a point P outside a circle, tangent PT to the circle and a line PB intersecting the circle at two
points A & B are drawn. If PA=8 cm, and PT=12 cm then length of PB is:
(A) 20 cm
(B) 4 cm
(C) 15 cm
(D) 18 cm​

Answer 1

Answer:

D) 18 cm

Step-by-step explanation:

As we know that,

square of tangent = PA × PB

PT^2 = PA × PB

12^2 = 8 × PB

144 = 8 × PB

PB = 144 ÷ 8

PB = 18 cm (Ans)