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  1. 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
    1. 8 cm
    2. 6 cm
    3. 10 cm
    4. 12 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 =
8 × 6
= 12 cm.
4



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