Let O be the centre of a circle and P be the point outside the circle. If PAB is a secant to the circle intersecting the circle at A and B and PT is the tangent segment drawn from P, find the length of PT, if PA = 3 cm and AB = 9 cm.
Answer & explanation
Correct answer: option 3
According to the concept
PA x PB = \( { PT}^{2 } \)
⇒ 3 x (3 + 9) = \( { PT}^{2 } \)
⇒ \( { PT}^{2 } \) = 36
⇒ PT = 6
Therefore, PT is 6 cm.