Two chords, AB and CD intersect at a point P inside a circle. If AP = 6 cm, PB = 8 cm, and CP = 4 cm, what is the length of PD?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12 cm.
Intersecting chords theorem: AP × PB = CP × PD
⇒ 6 × 8 = 4 × PD
⇒ 48 = 4PD
⇒ PD = 48/4 = 12 cm