question_answer

In the figure given below, P is a point on the side BC of \[\Delta \,ABC\] such that \[MP||AB\] and\[NP||AC\]. If \[MN\]and\[CB\]are produced to meet in\[Q\], then

A)  \[P{{Q}^{2}}=QB\times QC\]

B)  \[P{{Q}^{2}}=Q{{B}^{2}}\times Q{{C}^{2}}\]

C)  \[P{{B}^{2}}=QC\times QB\] 

D)  \[P{{B}^{2}}=PQ\times QB\]

E)  None of these