In the given figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB = 15 cm, PB = 9 cm, CP = 3 cm, then find the length of PD.
Answer & explanation
Correct answer: option 2
We know that,
AP × PB = CP × PD
We have,
AB = 15 cm
PB = 9 cm and CP = 3 cm
According to the question,
AP = AB - PB
= AP = 15 - 9 = 6 cm
According to the formula
AP × PB = CP × PD
= 6 × 9 = 3 × PD
PD = 18