In the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB = 18 cm, PB = 6 cm and CP = 4 cm, then find the measure of PD.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18 cm.
In the given figure,
AP × PB = CP × PD .....(i)
Given that, AB = 18 cm and PB = 6 cm
⇒ AP = AB - PB
⇒ AP = 18 - 6
⇒ AP = 12 cm
Now, putting the values of AP, PB and CP inb equation (i),
⇒ 12 × 6 = 4 × PD
⇒ PD = 18
Hence the maesure of PD is 18 cm.