question_answer

A right angled triangle PQR is right angled at P, S and T are points on PQ and PR, respectively, which divide these sides in 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)  \[9\,Q{{T}^{2}}=9P{{Q}^{2}})+4\,\,P{{R}^{2}}\]

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

D)  All the above

E)  None of these