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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 |