SSC
Quantitative Aptitude
Circular Measurement
Question Bank
Circle and Its Properties (I)
question_answer
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 [SSC CGL Tier II, 2015]
A)6
B)10
C)12
D)8
Correct Answer:
C
Solution :
[c] According to the questions \[PA=8\,cm\] and \[PC=4\,cm\] \[\because \] \[PA\times PB=PD\times PC\] \[\Rightarrow \] \[8\times 6=PD\times 4\] \[\therefore \] \[PD=2\times 6=12\,cm\]