In the 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 = 20 cm, PB = 12 cm and CP = 8 cm, then find the measure of PD.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12 cm.
Two chords AB and CD intersect each other at point P within the circle.
AB = 20 cm, PB = 12 cm and CP = 8 cm
Using the given figure;
PA × PB = PC × PD ---- (1)
We have, PA = 20 - 12 = 8 cm
Using equation (1), we get
⇒ 8 × 12 = 8 × PD
⇒ PD = 12 cm