question_answer

In a right angled triangle PQR right angled at P, S and T are points on PQ and PR respectively, which divide these sides on the ratio 2 : 1, then which one of the following is correct?

A)  \[9(Q{{T}^{2}}+R{{S}^{2}})=13\,Q{{R}^{2}}\]

B)                                 \[9\,QT=9P{{Q}^{2}}+4\,P{{R}^{2}}\]

C)  \[9\,R{{S}^{2}}=4\,P{{Q}^{2}}+9\,P{{R}^{2}}\]

D) All the above

E) None of these