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

Answer: Option A

Solution

Answer: Option A

Solution:

∵ ΔPQR ∼ ΔPXY

$$\begin{array}{rl}& \frac{PX}{PQ}=\frac{XY}{QR}\\ & \frac{5}{\left(5+6\right)}=\frac{XY}{QR}\\ & XY:QR=5:11\end{array}$$