In the following figure, if PT = 12 cm and PB = 24 cm, find AB.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 18 cm.
Given that
if PT = 12 cm and PB = 24 cm
PB intersects the circle at A and B
According to the theorem
⇒ PT2 = PA × PB
⇒ 122 = PA × 24
⇒ PA = 144/24 = 6 cm
Hence, AB = PB - PA = 24 - 6 = 18 cm