Chord AB of a circle is produced to a point P and C is a point on the circle such that PC is a tangent to the circle. If PC = 18 cm and BP = 15 cm, then AB is equal to:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 6.6 cm
We can write:
PA × PB = PC2
⇒ PA = (18 × 18)/15
⇒ PA = 21.6
Hence,
AB = PA - PB = 21.6 - 15 = 6.6 cm