question_answer

Let p and q be the position vectors of P and Q respectively with respect to 0 and | p | = p, |q| = q. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If \[\overrightarrow{OR}\]and \[\overrightarrow{OS}\]are perpendicular, then

A)  \[9{{p}^{2}}=4{{q}^{2}}\] 

B)  \[4{{p}^{2}}=9{{q}^{2}}\]

C)  \[9p=4q\]                    

D)  \[4p=9q\]

E)  None of these