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 = 9cm, CP = 3 cm, then find the length of PD.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 18 cm.
| Understanding | Application |
| If two chords AB and CD interest each other at point P inside the circle, then PA x PB = CP x PD |
⇒ PA × PB = PC × PD ⇒ 6 × 9 = 3 × PD ⇒ PD = 54 / 3 = 18 cm |