question_answer

In a \[\Delta \,PQR,\] M and N are points on PQ and QR, respectively such that \[MN||PR\] and MN divides the triangular region PQR into two parts equal in area, then \[\frac{PM}{PQ}\] is equal to _______.

A)  \[\frac{2-\sqrt{2}}{2}\]

B)  \[\frac{2+\sqrt{2}}{2}\]

C)  \[\frac{3-\sqrt{2}}{2}\]             

D)  \[\frac{3+\sqrt{2}}{2}\]

E)  None of these