In ΔPQR, straight line parallel to the base QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be

A. 5 : 11

B. 6 : 5

C. 11 : 6

D. 11 : 5

Answer: Option A

Solution(By Examveda Team)

∵ ΔPQR ∼ ΔPXY

$$\eqalign{ & \frac{{PX}}{{PQ}} = \frac{{XY}}{{QR}} \cr & \frac{5}{{\left( {5 + 6} \right)}} = \frac{{XY}}{{QR}} \cr & XY:QR = 5:11 \cr} $$