Question : In the following figure, if PT = 12 cm and PB = 24 cm, then find AB.
Option 1: 24 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 12 cm
Correct Answer: 18 cm
Solution : PT = 12 cm PB = 24 cm Now, PT 2 = PA × PB ⇒ 12 2 = PA × 24 ⇒ PA = $\frac{144}{24}$ = 6 cm Also, PB = PA + AB $\therefore$ AB = PB – PA = 24 – 6 = 18 cm Hence, the correct answer is 18 cm.
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