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					 ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, if PA = 8 cm, PB = 6 cm, PC = 4 cm, then the length (in cm) of PD is
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                        -  8 cm 
 
-  6 cm 
 
-  10 cm 
 
- 12 cm
 
-  8 cm 
Correct Option: D
As per the given in question , we draw a figure cyclic quadrilateral ABCD in which AB and DC when produced meet at point P , 
Given , PA = 8 cm, PB = 6 cm, PC = 4 cm
From figure 
Clearly,  AP × BP = PD × PC 
⇒ 8 × 6 = PD × 4
| ⇒ PD = | = 12 cm. | |
| 4 | 
 
	