question_answer

In the shown figure, ST || PR and ST divides triangular region PQR into two parts of equal area. Find the ratio of \[\frac{PS}{PQ}\].

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

B)                                             \[\frac{\sqrt{2}\left( \sqrt{2}-2 \right)}{2}\]  

C)  \[\sqrt{2}+1\]      

D)                                                       \[2-\sqrt{2}\]

E) None of these