Question 29

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

Solution

Secant intersects the circle at 2 points A & B.

PCD secant intersects the circle at 2 points C & D

& if 2 secants are drawn from an external point to a circle , the property is..

PA x PB = PD x PC

=> 10 * 22 = PD * 11

=> 220 = 11 PD

=> PD = 20 cm

C is correct choice.

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