question_answer

ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, if \[PA=12\]cm., PB = 8 cm, PC = 6 cm, then the length (in cm ) of PD is

A)  8 cm                           

B)  6cm

C)  10 cm                         

D)  16 cm

Correct Answer: D

Solution :

(d): Clearly, \[AP\times BP=PD\times PC\] \[\Rightarrow \]\[12\times 8=PD\times 6\] \[\Rightarrow \]\[PD=\frac{12\times 8}{6}=16\]cm.