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?

Question

TuteeHUB · Accepted Answer

None of these

TuteeHUB · Answer

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

TuteeHUB · Answer

$$9\,QT=9P{{Q}^{2}}+4\,P{{R}^{2}}$$

TuteeHUB · Answer

$$9\,R{{S}^{2}}=4\,P{{Q}^{2}}+9\,P{{R}^{2}}$$

TuteeHUB · Answer

All the above

1.	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
Answer» E. None of these

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?

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